432747961216 has 128 divisors (see below), whose sum is σ = 885261843360. Its totient is φ = 210636840960.

The previous prime is 432747961193. The next prime is 432747961223. The reversal of 432747961216 is 612169747234.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 791129455 + ... + 791130001.

Almost surely, 2^432747961216 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 432747961216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442630921680).

432747961216 is an abundant number, since it is smaller than the sum of its proper divisors (452513882144).

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

432747961216 is a wasteful number, since it uses less digits than its factorization.

432747961216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1300 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 52.

The spelling of 432747961216 in words is "four hundred thirty-two billion, seven hundred forty-seven million, nine hundred sixty-one thousand, two hundred sixteen".