40102880584032 has 108 divisors (see below), whose sum is σ = 132661761264396. Its totient is φ = 11457965877120.

The previous prime is 40102880584021. The next prime is 40102880584057. The reversal of 40102880584032 is 23048508820104.

40102880584032 is a `hidden beast` number, since 4 + 0 + 10 + 28 + 8 + 0 + 584 + 0 + 32 = 666.

It is a super-2 number, since 2×40102880584032² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1420864594 + ... + 1420892817.

It is an arithmetic number, because the mean of its divisors is an integer number (1228349641337).

Almost surely, 2^{40102880584032} is an apocalyptic number.

40102880584032 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

40102880584032 is an abundant number, since it is smaller than the sum of its proper divisors (92558880680364).

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

40102880584032 is a wasteful number, since it uses less digits than its factorization.

40102880584032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2841757441 (or 2841757423 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 40102880584032 in words is "forty trillion, one hundred two billion, eight hundred eighty million, five hundred eighty-four thousand, thirty-two".