Because the Play Store does not update itself through the store interface on such old versions, you must manually download the from reputable third-party mirrors.
Go to Settings > Security and toggle on Unknown Sources . This allows you to install apps from outside the Play Store. google play store apk download for android 44 4 full
Provides a clean interface for finding legacy app versions. How to Install the APK on Android 4.4.4 Because the Play Store does not update itself
A highly trusted source for verified APKs. Look for versions labeled "Android 4.4+" or "minAPI 19". Provides a clean interface for finding legacy app versions
Although official updates have ceased, users can still download and install compatible APKs to maintain access to the store, though many modern apps will no longer be available for download due to higher API requirements. Where to Download Google Play Store APK
If the store crashes after installation, go to Settings > Apps > Google Play Store and select Clear Cache and Clear Data . Google Play Store (Android 4.4+) APKs - APKMirror
Open your Downloads folder, tap the APK file, and follow the prompts to install.