40092900883416 has 192 divisors, whose sum is σ = 117566387527680. Its totient is φ = 12315909669120.

The previous prime is 40092900883363. The next prime is 40092900883459. The reversal of 40092900883416 is 61438800929004.

40092900883416 is a `hidden beast` number, since 4 + 0 + 0 + 9 + 290 + 0 + 8 + 8 + 341 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1283236 + ... + 9046131.

It is an arithmetic number, because the mean of its divisors is an integer number (612324935040).

Almost surely, 2^{40092900883416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40092900883416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58783193763840).

40092900883416 is an abundant number, since it is smaller than the sum of its proper divisors (77473486644264).

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

40092900883416 is a wasteful number, since it uses less digits than its factorization.

40092900883416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10329494 (or 10329487 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 40092900883416 in words is "forty trillion, ninety-two billion, nine hundred million, eight hundred eighty-three thousand, four hundred sixteen".