Yes, you may allocate the interest income evenly over the entire year (divide by 12 times the months before and after death). Or if you have a statement close to the date of death, you can use the interest paid up to that date for the 1040.
However, as DianeW77 says, if the trust received less than $600 of income in total for the year (including the interest income) and won't file Form 1041, the trust amount may be reported by the beneficiaries.
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