40073537629314 has 64 divisors (see below), whose sum is σ = 101774919916800. Its totient is φ = 11449485869184.

The previous prime is 40073537629313. The next prime is 40073537629337. The reversal of 40073537629314 is 41392673537004.

40073537629314 is a `hidden beast` number, since 4 + 0 + 0 + 7 + 3 + 5 + 3 + 7 + 629 + 3 + 1 + 4 = 666.

It is a super-2 number, since 2×40073537629314² (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 Curzon number.

It is not an unprimeable number, because it can be changed into a prime (40073537629313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53019892 + ... + 53770400.

It is an arithmetic number, because the mean of its divisors is an integer number (1590233123700).

Almost surely, 2^{40073537629314} is an apocalyptic number.

40073537629314 is an abundant number, since it is smaller than the sum of its proper divisors (61701382287486).

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

40073537629314 is a wasteful number, since it uses less digits than its factorization.

40073537629314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891784 (or 891778 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 40073537629314 in words is "forty trillion, seventy-three billion, five hundred thirty-seven million, six hundred twenty-nine thousand, three hundred fourteen".