432133020396 has 216 divisors, whose sum is σ = 1375331473152. Its totient is φ = 111985473600.

The previous prime is 432133020383. The next prime is 432133020427. The reversal of 432133020396 is 693020331234.

432133020396 is a `hidden beast` number, since 4 + 3 + 213 + 30 + 20 + 396 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 432133020396.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13491961 + ... + 13523951.

Almost surely, 2^432133020396 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 432133020396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687665736576).

432133020396 is an abundant number, since it is smaller than the sum of its proper divisors (943198452756).

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

432133020396 is a wasteful number, since it uses less digits than its factorization.

432133020396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32473 (or 32457 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The spelling of 432133020396 in words is "four hundred thirty-two billion, one hundred thirty-three million, twenty thousand, three hundred ninety-six".