Last year, 2016, my relative with a revocable trusts passed away and the revocable trust became irrevocable. I obtained a TIN. I was the only person named in the trust.

Before the end of 2016 I distributed substantially all trust assets to me except a small balance in a checking account. Before that time the trust earned about $300 in dividend income and $150 in qualified dividend income and less than $1 in interest. Total gross less than $500, which is seemingly less than the $600 filing requirement. The trust also had a short-term capital loss in investments, just slightly greater than the gross income, so trust net was a very small negative amount.

2017 income will be less than fifty cents and I will dispose of the checking account (last asset) this year.

Can I not file a (first / first+last) 1041 for 2016?

Can/should I file a first+last 1041 next year (2017 taxes) with all zeros? If not how do I "dispose" of the new TIN?