117652033440 has 240 divisors, whose sum is σ = 419883072840. Its totient is φ = 31021056000.

The previous prime is 117652033397. The next prime is 117652033481. The reversal of 117652033440 is 44330256711.

117652033440 is a `hidden beast` number, since 1 + 1 + 7 + 6 + 5 + 203 + 3 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 43913717136 + 73738316304 = 209556^2 + 271548^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 = 117652033395 and 117652033404.

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 39 ways as a sum of consecutive naturals, for example, 1102440 + ... + 1204440.

Almost surely, 2^117652033440 is an apocalyptic number.

117652033440 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 117652033440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209941536420).

117652033440 is an abundant number, since it is smaller than the sum of its proper divisors (302231039400).

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

117652033440 is a wasteful number, since it uses less digits than its factorization.

117652033440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102117 (or 102100 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 117652033440 in words is "one hundred seventeen billion, six hundred fifty-two million, thirty-three thousand, four hundred forty".