432133020432 has 60 divisors (see below), whose sum is σ = 1210097554380. Its totient is φ = 143957954304.

The previous prime is 432133020427. The next prime is 432133020437. The reversal of 432133020432 is 234020331234.

432133020432 is a `hidden beast` number, since 4 + 321 + 3 + 302 + 0 + 4 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (432133020427) and next prime (432133020437).

It can be written as a sum of positive squares in 2 ways, for example, as 106247313936 + 325885706496 = 325956^2 + 570864^2 .

It is a junction number, because it is equal to n+sod(n) for n = 432133020396 and 432133020405.

It is not an unprimeable number, because it can be changed into a prime (432133020437) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 658683 + ... + 1139354.

It is an arithmetic number, because the mean of its divisors is an integer number (20168292573).

Almost surely, 2^432133020432 is an apocalyptic number.

It is an amenable number.

432133020432 is an abundant number, since it is smaller than the sum of its proper divisors (777964533948).

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

432133020432 is a wasteful number, since it uses less digits than its factorization.

432133020432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799720 (or 1799711 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 432133020432 its reverse (234020331234), we get a palindrome (666153351666).

The spelling of 432133020432 in words is "four hundred thirty-two billion, one hundred thirty-three million, twenty thousand, four hundred thirty-two".