Bypass 4GB limitation of Android file transfer
According to Android.com:


  Browse the files and folders on your Android device, add folders, copy
  files up to 4GB to or from your Mac, delete files, and more.


As a workaround, install an FTP server on your Mac, and transfer the file via Wi-Fi or mobile data. OR, via adb pull (adb pull /storage/sdcard0/ dir here﻿) using the Android SDK. Source.