40440400204416 has 256 divisors, whose sum is σ = 115544212767360. Its totient is φ = 12486523355136.

The previous prime is 40440400204357. The next prime is 40440400204423. The reversal of 40440400204416 is 61440200404404.

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, 222455190 + ... + 222636906.

Almost surely, 2^{40440400204416} 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 40440400204416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57772106383680).

40440400204416 is an abundant number, since it is smaller than the sum of its proper divisors (75103812562944).

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

40440400204416 is a wasteful number, since it uses less digits than its factorization.

40440400204416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182291 (or 182279 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

The spelling of 40440400204416 in words is "forty trillion, four hundred forty billion, four hundred million, two hundred four thousand, four hundred sixteen".