117027464400 has 1080 divisors, whose sum is σ = 528299186688. Its totient is φ = 23708160000.

The previous prime is 117027464387. The next prime is 117027464429. The reversal of 117027464400 is 4464720711.

It is a happy number.

117027464400 is a `hidden beast` number, since 1 + 1 + 7 + 0 + 2 + 7 + 4 + 644 + 0 + 0 = 666.

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

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 79555665 + ... + 79557135.

Almost surely, 2^117027464400 is an apocalyptic number.

117027464400 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 117027464400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264149593344).

117027464400 is an abundant number, since it is smaller than the sum of its proper divisors (411271722288).

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

117027464400 is a wasteful number, since it uses less digits than its factorization.

117027464400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 117027464400 in words is "one hundred seventeen billion, twenty-seven million, four hundred sixty-four thousand, four hundred".