232405020840960 has 4928 divisors, whose sum is σ = 1042197625257984. Its totient is φ = 48979692748800.

The previous prime is 232405020840893. The next prime is 232405020840989. The reversal of 232405020840960 is 69048020504232.

232405020840960 is a `hidden beast` number, since 2 + 3 + 2 + 4 + 0 + 502 + 0 + 84 + 0 + 9 + 60 = 666.

It is a super-2 number, since 2×232405020840960² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 447 ways as a sum of consecutive naturals, for example, 497655290647 + ... + 497655291113.

Almost surely, 2^{232405020840960} is an apocalyptic number.

232405020840960 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 232405020840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521098812628992).

232405020840960 is an abundant number, since it is smaller than the sum of its proper divisors (809792604417024).

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

232405020840960 is a wasteful number, since it uses less digits than its factorization.

232405020840960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 232405020840960 in words is "two hundred thirty-two trillion, four hundred five billion, twenty million, eight hundred forty thousand, nine hundred sixty".