You are $25$ years old now, and just graduated from college. You got your first job after graduation, and they will pay you $$60,039$ per year. If you plan to work from age $25$ to $66,$ then retire, and you expect to live until age $100,$ how much should you save for retirement? Assume you'll earn $10\%$ in your working years and $4\%$ in retirement, also assume you'll want an income of $$60,039$ per year in retirement.

Do not round intermediate calculations. Round your final answer to $2$ decimals.