40638117744 has 160 divisors (see below), whose sum is σ = 137610874880. Its totient is φ = 11236320000.

The previous prime is 40638117743. The next prime is 40638117761. The reversal of 40638117744 is 44771183604.

40638117744 is a `hidden beast` number, since 4 + 0 + 638 + 1 + 1 + 7 + 7 + 4 + 4 = 666.

It is a super-2 number, since 2×40638117744² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40638117744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40638117743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123007 + ... + 310494.

It is an arithmetic number, because the mean of its divisors is an integer number (860067968).

Almost surely, 2^40638117744 is an apocalyptic number.

It is an amenable number.

40638117744 is an abundant number, since it is smaller than the sum of its proper divisors (96972757136).

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

40638117744 is a wasteful number, since it uses less digits than its factorization.

40638117744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433556 (or 433544 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 40638117744 in words is "forty billion, six hundred thirty-eight million, one hundred seventeen thousand, seven hundred forty-four".