Yes, you can absolutely sponsor your father for green card. He's an immediate relative of a US citizen and there's unlimited visas available for this category.
File I-130, I-130A, I-485, I-693, I-864. Also optional I-765 and I-131.
Sometimes, even with 40 work credits USCIS ignores it. So make sure to attach proof of 40 work credits, maybe a statement from SSA.
You got it!