432342358272 has 288 divisors, whose sum is σ = 1408307496960. Its totient is φ = 129738516480.

The previous prime is 432342358271. The next prime is 432342358289. The reversal of 432342358272 is 272853243234.

432342358272 is a `hidden beast` number, since 4 + 3 + 2 + 342 + 35 + 8 + 272 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (432342358271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7803693 + ... + 7858899.

Almost surely, 2^432342358272 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 432342358272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704153748480).

432342358272 is an abundant number, since it is smaller than the sum of its proper divisors (975965138688).

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

432342358272 is a wasteful number, since it uses less digits than its factorization.

432342358272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55346 (or 55326 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 45.

The spelling of 432342358272 in words is "four hundred thirty-two billion, three hundred forty-two million, three hundred fifty-eight thousand, two hundred seventy-two".