117435640320 has 240 divisors, whose sum is σ = 421778316960. Its totient is φ = 31316004864.

The previous prime is 117435640319. The next prime is 117435640321. The reversal of 117435640320 is 23046534711.

117435640320 is a `hidden beast` number, since 1 + 1 + 7 + 4 + 3 + 5 + 640 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (117435640319) and next prime (117435640321).

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

It is a super-3 number, since 3×117435640320³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (117435640321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 527691 + ... + 716469.

It is an arithmetic number, because the mean of its divisors is an integer number (1757409654).

Almost surely, 2^117435640320 is an apocalyptic number.

117435640320 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 117435640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210889158480).

117435640320 is an abundant number, since it is smaller than the sum of its proper divisors (304342676640).

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

117435640320 is an frugal number, since it uses more digits than its factorization.

117435640320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188817 (or 188789 counting only the distinct ones).

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

The spelling of 117435640320 in words is "one hundred seventeen billion, four hundred thirty-five million, six hundred forty thousand, three hundred twenty".