117655319040 has 960 divisors, whose sum is σ = 473377094784. Its totient is φ = 24761597952.

The previous prime is 117655319029. The next prime is 117655319059. The reversal of 117655319040 is 40913556711.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 117655318983 and 117655319001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 339064147 + ... + 339064493.

Almost surely, 2^117655319040 is an apocalyptic number.

117655319040 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 117655319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236688547392).

117655319040 is an abundant number, since it is smaller than the sum of its proper divisors (355721775744).

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

117655319040 is a wasteful number, since it uses less digits than its factorization.

117655319040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 42.

The spelling of 117655319040 in words is "one hundred seventeen billion, six hundred fifty-five million, three hundred nineteen thousand, forty".