432144055824 has 160 divisors (see below), whose sum is σ = 1222719324288. Its totient is φ = 130705920000.

The previous prime is 432144055817. The next prime is 432144055831. The reversal of 432144055824 is 428550441234.

432144055824 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (432144055817) and next prime (432144055831).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92911899 + ... + 92916549.

Almost surely, 2^432144055824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432144055824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611359662144).

432144055824 is an abundant number, since it is smaller than the sum of its proper divisors (790575268464).

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

432144055824 is a wasteful number, since it uses less digits than its factorization.

432144055824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7177 (or 7171 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 42.

The spelling of 432144055824 in words is "four hundred thirty-two billion, one hundred forty-four million, fifty-five thousand, eight hundred twenty-four".