432328197312 has 672 divisors, whose sum is σ = 1540124651520. Its totient is φ = 118696596480.

The previous prime is 432328197299. The next prime is 432328197337. The reversal of 432328197312 is 213791823234.

432328197312 is a `hidden beast` number, since 4 + 3 + 2 + 328 + 1 + 9 + 7 + 312 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74755573 + ... + 74761355.

It is an arithmetic number, because the mean of its divisors is an integer number (2291852160).

Almost surely, 2^432328197312 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 432328197312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770062325760).

432328197312 is an abundant number, since it is smaller than the sum of its proper divisors (1107796454208).

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

432328197312 is a wasteful number, since it uses less digits than its factorization.

432328197312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5863 (or 5841 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 432328197312 in words is "four hundred thirty-two billion, three hundred twenty-eight million, one hundred ninety-seven thousand, three hundred twelve".