109374510038400 has 192 divisors, whose sum is σ = 400280325248400. Its totient is φ = 29166535987200.

The previous prime is 109374510038393. The next prime is 109374510038447. The reversal of 109374510038400 is 4830015473901.

109374510038400 is a `hidden beast` number, since 1 + 0 + 93 + 7 + 4 + 510 + 0 + 3 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×109374510038400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 632867941 + ... + 633040740.

Almost surely, 2^{109374510038400} is an apocalyptic number.

109374510038400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

109374510038400 is an abundant number, since it is smaller than the sum of its proper divisors (290905815210000).

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

109374510038400 is a wasteful number, since it uses less digits than its factorization.

109374510038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265908714 (or 1265908691 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 109374510038400 in words is "one hundred nine trillion, three hundred seventy-four billion, five hundred ten million, thirty-eight thousand, four hundred".