Assume that you contribute $$240$ per month to a retirement plan for $15$ years. Then you are able to increase the contribution to $$440$ per month for the next $25$ years. Given a $9\mathrm{.}0$ percent interest rate, what is the value of your retirement plan after the $40$ years? Find the future value of multiple annuities.

Note: Do not round intermediate calculations and round your final answer to $2$ decimal places.