232333120400 has 120 divisors (see below), whose sum is σ = 562562488488. Its totient is φ = 92206080000.

The previous prime is 232333120381. The next prime is 232333120429. The reversal of 232333120400 is 4021333232.

It can be written as a sum of positive squares in 12 ways, for example, as 123240315136 + 109092805264 = 351056^2 + 330292^2 .

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 23 ways as a sum of consecutive naturals, for example, 33372920 + ... + 33379880.

Almost surely, 2^232333120400 is an apocalyptic number.

232333120400 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 232333120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281281244244).

232333120400 is an abundant number, since it is smaller than the sum of its proper divisors (330229368088).

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

232333120400 is a wasteful number, since it uses less digits than its factorization.

232333120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7621 (or 7610 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 232333120400 its reverse (4021333232), we get a palindrome (236354453632).

The spelling of 232333120400 in words is "two hundred thirty-two billion, three hundred thirty-three million, one hundred twenty thousand, four hundred".