117408013034400 has 1440 divisors, whose sum is σ = 490006386334080. Its totient is φ = 27093685248000.

The previous prime is 117408013034399. The next prime is 117408013034407. The reversal of 117408013034400 is 4430310804711.

117408013034400 is a `hidden beast` number, since 1 + 1 + 7 + 4 + 0 + 80 + 130 + 3 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is not an unprimeable number, because it can be changed into a prime (117408013034407) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1467615202 + ... + 1467695198.

It is an arithmetic number, because the mean of its divisors is an integer number (340282212732).

Almost surely, 2^{117408013034400} is an apocalyptic number.

117408013034400 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 117408013034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245003193167040).

117408013034400 is an abundant number, since it is smaller than the sum of its proper divisors (372598373299680).

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

117408013034400 is a wasteful number, since it uses less digits than its factorization.

117408013034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80140 (or 80118 counting only the distinct ones).

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

The spelling of 117408013034400 in words is "one hundred seventeen trillion, four hundred eight billion, thirteen million, thirty-four thousand, four hundred".