40124993836032 has 704 divisors, whose sum is σ = 141919939297280. Its totient is φ = 11094333972480.

The previous prime is 40124993836013. The next prime is 40124993836043. The reversal of 40124993836032 is 23063839942104.

40124993836032 is a `hidden beast` number, since 4 + 0 + 1 + 24 + 9 + 9 + 3 + 8 + 3 + 603 + 2 = 666.

It is a super-2 number, since 2×40124993836032² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 40124993836032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 485927613 + ... + 486010179.

Almost surely, 2^{40124993836032} is an apocalyptic number.

40124993836032 is a gapful number since it is divisible by the number (42) 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 40124993836032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70959969648640).

40124993836032 is an abundant number, since it is smaller than the sum of its proper divisors (101794945461248).

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

40124993836032 is an frugal number, since it uses more digits than its factorization.

40124993836032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82646 (or 82610 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 40124993836032 in words is "forty trillion, one hundred twenty-four billion, nine hundred ninety-three million, eight hundred thirty-six thousand, thirty-two".