117417830400 has 864 divisors, whose sum is σ = 479916080280. Its totient is φ = 27179089920.

The previous prime is 117417830399. The next prime is 117417830423. The reversal of 117417830400 is 4038714711.

117417830400 is a `hidden beast` number, since 1 + 174 + 1 + 7 + 83 + 0 + 400 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 14423049216 + 102994781184 = 120096^2 + 320928^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 101836224 + ... + 101837376.

Almost surely, 2^117417830400 is an apocalyptic number.

117417830400 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 117417830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239958040140).

117417830400 is an abundant number, since it is smaller than the sum of its proper divisors (362498249880).

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

117417830400 is a wasteful number, since it uses less digits than its factorization.

117417830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 117417830400 in words is "one hundred seventeen billion, four hundred seventeen million, eight hundred thirty thousand, four hundred".