When your spouse has earned $5440 for the year they have earned all four credits for the year.
You generally will not need to file an application for survivors benefits because we will automatically change any monthly benefits you receive to survivors benefits after receive the death report.  Also, may be able to pay a Special Lump-Sum Death Payment.
May I ask something else? regarding $5,440 for the year? . What documents do I need to file for Child or Spousal benefits?
All you need to do is select which type of benefits you may need for Spouse or Child's benefits and it will tell you what documents.