117137435040 has 384 divisors, whose sum is σ = 434706048000. Its totient is φ = 29376857088.

The previous prime is 117137435033. The next prime is 117137435083. The reversal of 117137435040 is 40534731711.

It is a happy number.

117137435040 is a `hidden beast` number, since 1 + 17 + 137 + 4 + 3 + 504 + 0 = 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 = 117137434986 and 117137435004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11403987 + ... + 11414253.

It is an arithmetic number, because the mean of its divisors is an integer number (1132047000).

Almost surely, 2^117137435040 is an apocalyptic number.

117137435040 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 117137435040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217353024000).

117137435040 is an abundant number, since it is smaller than the sum of its proper divisors (317568612960).

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

117137435040 is a wasteful number, since it uses less digits than its factorization.

117137435040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10449 (or 10435 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 117137435040 in words is "one hundred seventeen billion, one hundred thirty-seven million, four hundred thirty-five thousand, forty".