40131502560384 has 256 divisors, whose sum is σ = 113091348787200. Its totient is φ = 12583194624000.

The previous prime is 40131502560371. The next prime is 40131502560419. The reversal of 40131502560384 is 48306520513104.

It is a super-2 number, since 2×40131502560384² (a number of 28 digits) contains 22 as substring.

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, 175015152 + ... + 175244304.

It is an arithmetic number, because the mean of its divisors is an integer number (441763081200).

Almost surely, 2^{40131502560384} 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 40131502560384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56545674393600).

40131502560384 is an abundant number, since it is smaller than the sum of its proper divisors (72959846226816).

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

40131502560384 is a wasteful number, since it uses less digits than its factorization.

40131502560384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229523 (or 229511 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 40131502560384 in words is "forty trillion, one hundred thirty-one billion, five hundred two million, five hundred sixty thousand, three hundred eighty-four".