40431089870400 has 336 divisors, whose sum is σ = 133279046827200. Its totient is φ = 10730342768640.

The previous prime is 40431089870393. The next prime is 40431089870441. The reversal of 40431089870400 is 407898013404.

It is a super-2 number, since 2×40431089870400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 40431089870400.

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, 3652636066 + ... + 3652647134.

Almost surely, 2^{40431089870400} is an apocalyptic number.

40431089870400 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 40431089870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66639523413600).

40431089870400 is an abundant number, since it is smaller than the sum of its proper divisors (92847956956800).

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

40431089870400 is a wasteful number, since it uses less digits than its factorization.

40431089870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14646 (or 14631 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 40431089870400 in words is "forty trillion, four hundred thirty-one billion, eighty-nine million, eight hundred seventy thousand, four hundred".