432612564096 has 256 divisors, whose sum is σ = 1260344966400. Its totient is φ = 130868183040.

The previous prime is 432612564049. The next prime is 432612564133. The reversal of 432612564096 is 690465216234.

432612564096 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×432612564096² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 280370301 + ... + 280371843.

It is an arithmetic number, because the mean of its divisors is an integer number (4923222525).

Almost surely, 2^432612564096 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 432612564096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630172483200).

432612564096 is an abundant number, since it is smaller than the sum of its proper divisors (827732402304).

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

432612564096 is a wasteful number, since it uses less digits than its factorization.

432612564096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3087 (or 3075 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 432612564096 in words is "four hundred thirty-two billion, six hundred twelve million, five hundred sixty-four thousand, ninety-six".