117562105440 has 432 divisors, whose sum is σ = 436839897312. Its totient is φ = 28776923136.

The previous prime is 117562105433. The next prime is 117562105469. The reversal of 117562105440 is 44501265711.

117562105440 is a `hidden beast` number, since 1 + 1 + 7 + 562 + 1 + 0 + 54 + 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 = 117562105395 and 117562105404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46967229 + ... + 46969731.

It is an arithmetic number, because the mean of its divisors is an integer number (1011203466).

Almost surely, 2^117562105440 is an apocalyptic number.

117562105440 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 117562105440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218419948656).

117562105440 is an abundant number, since it is smaller than the sum of its proper divisors (319277791872).

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

117562105440 is a wasteful number, since it uses less digits than its factorization.

117562105440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2743 (or 2719 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 117562105440 in words is "one hundred seventeen billion, five hundred sixty-two million, one hundred five thousand, four hundred forty".