40216601503584 has 192 divisors, whose sum is σ = 128128337568000. Its totient is φ = 12170999070720.

The previous prime is 40216601503571. The next prime is 40216601503619. The reversal of 40216601503584 is 48530510661204.

40216601503584 is a `hidden beast` number, since 4 + 0 + 2 + 1 + 6 + 60 + 1 + 5 + 0 + 3 + 584 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4557247 + ... + 10059905.

It is an arithmetic number, because the mean of its divisors is an integer number (667335091500).

Almost surely, 2^{40216601503584} is an apocalyptic number.

40216601503584 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40216601503584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64064168784000).

40216601503584 is an abundant number, since it is smaller than the sum of its proper divisors (87911736064416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40216601503584 is a wasteful number, since it uses less digits than its factorization.

40216601503584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5503458 (or 5503444 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 40216601503584 in words is "forty trillion, two hundred sixteen billion, six hundred one million, five hundred three thousand, five hundred eighty-four".