40131624960 has 640 divisors, whose sum is σ = 165087648000. Its totient is φ = 9172942848.

The previous prime is 40131624937. The next prime is 40131624977. The reversal of 40131624960 is 6942613104.

It is a Jordan-Polya number, since it can be written as 9! ⋅ (4!)³ ⋅ (2!)³.

40131624960 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 162 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×40131624960² (a number of 22 digits) contains 22 as substring.

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

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, 5733089277 + ... + 5733089283.

It is an arithmetic number, because the mean of its divisors is an integer number (257949450).

Almost surely, 2^40131624960 is an apocalyptic number.

40131624960 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 40131624960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82543824000).

40131624960 is an abundant number, since it is smaller than the sum of its proper divisors (124956023040).

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

40131624960 is an frugal number, since it uses more digits than its factorization.

40131624960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 40131624960 in words is "forty billion, one hundred thirty-one million, six hundred twenty-four thousand, nine hundred sixty".