232032442400 has 144 divisors (see below), whose sum is σ = 654294684960. Its totient is φ = 79412121600.

The previous prime is 232032442381. The next prime is 232032442423. The reversal of 232032442400 is 4244230232.

It is a happy number.

It is a super-2 number, since 2×232032442400² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 232032442400.

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, 625910 + ... + 925109.

It is an arithmetic number, because the mean of its divisors is an integer number (4543713090).

Almost surely, 2^232032442400 is an apocalyptic number.

232032442400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232032442400 is an abundant number, since it is smaller than the sum of its proper divisors (422262242560).

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

232032442400 is a wasteful number, since it uses less digits than its factorization.

232032442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551067 (or 1551054 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 232032442400 its reverse (4244230232), we get a palindrome (236276672632).

The spelling of 232032442400 in words is "two hundred thirty-two billion, thirty-two million, four hundred forty-two thousand, four hundred".