117138344400 has 1920 divisors, whose sum is σ = 551941816320. Its totient is φ = 23178700800.

The previous prime is 117138344371. The next prime is 117138344441. The reversal of 117138344400 is 4443831711.

117138344400 is a `hidden beast` number, since 1 + 171 + 3 + 83 + 4 + 4 + 400 = 666.

It is a super-2 number, since 2×117138344400² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2492305177 + ... + 2492305223.

It is an arithmetic number, because the mean of its divisors is an integer number (287469696).

Almost surely, 2^117138344400 is an apocalyptic number.

117138344400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117138344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275970908160).

117138344400 is an abundant number, since it is smaller than the sum of its proper divisors (434803471920).

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

117138344400 is a wasteful number, since it uses less digits than its factorization.

117138344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 117138344400 in words is "one hundred seventeen billion, one hundred thirty-eight million, three hundred forty-four thousand, four hundred".