432343144400 has 60 divisors (see below), whose sum is σ = 1039559070732. Its totient is φ = 172794961920.

The previous prime is 432343144399. The next prime is 432343144421. The reversal of 432343144400 is 4441343234.

It can be written as a sum of positive squares in 6 ways, for example, as 6920908864 + 425422235536 = 83192^2 + 652244^2 .

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 11 ways as a sum of consecutive naturals, for example, 42734 + ... + 930866.

Almost surely, 2^432343144400 is an apocalyptic number.

432343144400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

432343144400 is an abundant number, since it is smaller than the sum of its proper divisors (607215926332).

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

432343144400 is a wasteful number, since it uses less digits than its factorization.

432343144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889368 (or 889357 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 432343144400 its reverse (4441343234), we get a palindrome (436784487634).

The spelling of 432343144400 in words is "four hundred thirty-two billion, three hundred forty-three million, one hundred forty-four thousand, four hundred".