40256262144 has 416 divisors, whose sum is σ = 137608800000. Its totient is φ = 11391860736.

The previous prime is 40256262133. The next prime is 40256262169. The reversal of 40256262144 is 44126265204.

40256262144 is a `hidden beast` number, since 4 + 0 + 2 + 5 + 626 + 21 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40256262099 and 40256262108.

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, 115347282 + ... + 115347630.

Almost surely, 2^40256262144 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 40256262144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68804400000).

40256262144 is an abundant number, since it is smaller than the sum of its proper divisors (97352537856).

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

40256262144 is a wasteful number, since it uses less digits than its factorization.

40256262144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 40256262144 in words is "forty billion, two hundred fifty-six million, two hundred sixty-two thousand, one hundred forty-four".