diff --git a/src/allmydata/storage/http_client.py b/src/allmydata/storage/http_client.py
index 9711e748d..9203d02ab 100644
--- a/src/allmydata/storage/http_client.py
+++ b/src/allmydata/storage/http_client.py
@@ -586,7 +586,7 @@ class StorageClientImmutables(object):
         )
 
     @inlineCallbacks
-    def list_shares(self, storage_index):  # type: (bytes,) -> Deferred[set[int]]
+    def list_shares(self, storage_index: bytes) -> Deferred[set[int]]:
         """
         Return the set of shares for a given storage index.
         """
diff --git a/src/allmydata/storage/http_server.py b/src/allmydata/storage/http_server.py
index 46023be72..bcad0e972 100644
--- a/src/allmydata/storage/http_server.py
+++ b/src/allmydata/storage/http_server.py
@@ -3,7 +3,7 @@ HTTP server for storage.
 """
 
 from __future__ import annotations
-from typing import Dict, List, Set, Tuple, Any, Callable
+from typing import Dict, List, Set, Tuple, Any, Callable, Optional
 
 from functools import wraps
 from base64 import b64decode
@@ -274,7 +274,7 @@ _SCHEMAS = {
 }
 
 
-def read_range(request, read_data: Callable[int, int, bytes]) -> Optional[bytes]:
+def read_range(request, read_data: Callable[[int, int], bytes]) -> Optional[bytes]:
     """
     Parse the ``Range`` header, read appropriately, return as result.
 
@@ -298,7 +298,7 @@ def read_range(request, read_data: Callable[int, int, bytes]) -> Optional[bytes]
             data = read_data(start, start + 65536)
             if not data:
                 request.finish()
-                return
+                return None
             request.write(data)
             start += len(data)
 
diff --git a/src/allmydata/test/test_storage_http.py b/src/allmydata/test/test_storage_http.py
index 7ed4cd235..5e0b35d88 100644
--- a/src/allmydata/test/test_storage_http.py
+++ b/src/allmydata/test/test_storage_http.py
@@ -1105,7 +1105,7 @@ class SharedImmutableMutableTestsMixin:
     general_client: StorageClientGeneral
     client: Union[StorageClientImmutables, StorageClientMutables]
     clientFactory: Callable[
-        StorageClient, Union[StorageClientImmutables, StorageClientMutables]
+        [StorageClient], Union[StorageClientImmutables, StorageClientMutables]
     ]
 
     def upload(self, share_number: int, data_length=26) -> Tuple[bytes, bytes, bytes]: