432249143328 has 162 divisors, whose sum is σ = 1297945254879. Its totient is φ = 136432785024.

The previous prime is 432249143327. The next prime is 432249143351. The reversal of 432249143328 is 823341942234.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

432249143328 is a `hidden beast` number, since 4 + 3 + 224 + 91 + 4 + 332 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 216124571664 + 216124571664 = 464892^2 + 464892^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=464892.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (432249143321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 211989733 + ... + 211991771.

Almost surely, 2^432249143328 is an apocalyptic number.

432249143328 is a gapful number since it is divisible by the number (48) 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 432249143328

432249143328 is an abundant number, since it is smaller than the sum of its proper divisors (865696111551).

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

432249143328 is an equidigital number, since it uses as much as digits as its factorization.

432249143328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4132 (or 2063 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The spelling of 432249143328 in words is "four hundred thirty-two billion, two hundred forty-nine million, one hundred forty-three thousand, three hundred twenty-eight".