For Android 4.4.2, you need (the last build supporting API level 19). However, Google Play Services comes in dozens of variants based on your CPU architecture (Density/DPI).
The final versions supported for Android 4.4.2 usually fall within the series. Google Play Service Apk Android 4.4.2
Google Play Services is not a standard app but a background service that powers essential features: For Android 4
After extensive research and cross-referencing with Google’s own version history, the for Android 4.4.2 is: For Android 4.4.2
Securely connects your apps to Google accounts.
Your Google account credential token is stale.