40256755660000 has 720 divisors, whose sum is σ = 111866574137472. Its totient is φ = 14237435520000.

The previous prime is 40256755659949. The next prime is 40256755660007. The reversal of 40256755660000 is 6655765204.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40256755660007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 29448979317 + ... + 29448980683.

Almost surely, 2^{40256755660000} is an apocalyptic number.

40256755660000 is a gapful number since it is divisible by the number (40) 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 40256755660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55933287068736).

40256755660000 is an abundant number, since it is smaller than the sum of its proper divisors (71609818477472).

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

40256755660000 is a wasteful number, since it uses less digits than its factorization.

40256755660000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 46.

The spelling of 40256755660000 in words is "forty trillion, two hundred fifty-six billion, seven hundred fifty-five million, six hundred sixty thousand".