232012823040 has 1120 divisors, whose sum is σ = 904243481856. Its totient is φ = 56853135360.

The previous prime is 232012823039. The next prime is 232012823059. The reversal of 232012823040 is 40328210232.

232012823040 is a `hidden beast` number, since 232 + 0 + 128 + 2 + 304 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 232012822995 and 232012823013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2252551629 + ... + 2252551731.

Almost surely, 2^232012823040 is an apocalyptic number.

232012823040 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 232012823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452121740928).

232012823040 is an abundant number, since it is smaller than the sum of its proper divisors (672230658816).

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

232012823040 is an equidigital number, since it uses as much as digits as its factorization.

232012823040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 232012823040 in words is "two hundred thirty-two billion, twelve million, eight hundred twenty-three thousand, forty".