40113924624 has 80 divisors (see below), whose sum is σ = 117819592000. Its totient is φ = 13060341504.

The previous prime is 40113924623. The next prime is 40113924661. The reversal of 40113924624 is 42642931104.

40113924624 is a `hidden beast` number, since 4 + 0 + 1 + 1 + 3 + 9 + 24 + 624 = 666.

40113924624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (40113924623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1061149 + ... + 1098300.

It is an arithmetic number, because the mean of its divisors is an integer number (1472744900).

Almost surely, 2^40113924624 is an apocalyptic number.

It is an amenable number.

40113924624 is an abundant number, since it is smaller than the sum of its proper divisors (77705667376).

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

40113924624 is a wasteful number, since it uses less digits than its factorization.

40113924624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2159509 (or 2159497 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

It can be divided in two parts, 4011392 and 4624, that added together give a square (4016016 = 2004²).

The spelling of 40113924624 in words is "forty billion, one hundred thirteen million, nine hundred twenty-four thousand, six hundred twenty-four".