117327450240 has 3840 divisors, whose sum is σ = 638209756800. Its totient is φ = 20065812480.

The previous prime is 117327450199. The next prime is 117327450269. The reversal of 117327450240 is 42054723711.

117327450240 is a `hidden beast` number, since 1 + 17 + 32 + 74 + 502 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 117327450195 and 117327450204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 6175128951 + ... + 6175128969.

Almost surely, 2^117327450240 is an apocalyptic number.

117327450240 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 117327450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319104878400).

117327450240 is an abundant number, since it is smaller than the sum of its proper divisors (520882306560).

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

117327450240 is a wasteful number, since it uses less digits than its factorization.

117327450240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 117327450240 in words is "one hundred seventeen billion, three hundred twenty-seven million, four hundred fifty thousand, two hundred forty".