73514457020400 has 240 divisors, whose sum is σ = 261746776598400. Its totient is φ = 17485428147200.

The previous prime is 73514457020383. The next prime is 73514457020479. The reversal of 73514457020400 is 402075441537.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51840750 + ... + 53239949.

It is an arithmetic number, because the mean of its divisors is an integer number (1090611569160).

Almost surely, 2^{73514457020400} is an apocalyptic number.

It is an amenable number.

73514457020400 is an abundant number, since it is smaller than the sum of its proper divisors (188232319578000).

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

73514457020400 is a wasteful number, since it uses less digits than its factorization.

73514457020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105080784 (or 105080773 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 42.

The spelling of 73514457020400 in words is "seventy-three trillion, five hundred fourteen billion, four hundred fifty-seven million, twenty thousand, four hundred".