232979139653040 has 960 divisors, whose sum is σ = 888339742617600. Its totient is φ = 54209627136000.

The previous prime is 232979139652993. The next prime is 232979139653147. The reversal of 232979139653040 is 40356931979232.

232979139653040 is a `hidden beast` number, since 2 + 3 + 2 + 9 + 7 + 9 + 1 + 3 + 96 + 530 + 4 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15178775286 + ... + 15178790634.

It is an arithmetic number, because the mean of its divisors is an integer number (925353898560).

Almost surely, 2^{232979139653040} is an apocalyptic number.

232979139653040 is a gapful number since it is divisible by the number (20) 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 232979139653040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444169871308800).

232979139653040 is an abundant number, since it is smaller than the sum of its proper divisors (655360602964560).

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

232979139653040 is a wasteful number, since it uses less digits than its factorization.

232979139653040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15914 (or 15905 counting only the distinct ones).

The product of its (nonzero) digits is 66134880, while the sum is 63.

The spelling of 232979139653040 in words is "two hundred thirty-two trillion, nine hundred seventy-nine billion, one hundred thirty-nine million, six hundred fifty-three thousand, forty".