432008944416 has 288 divisors, whose sum is σ = 1564864479360. Its totient is φ = 110056071168.

The previous prime is 432008944343. The next prime is 432008944421. The reversal of 432008944416 is 614449800234.

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

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 47 ways as a sum of consecutive naturals, for example, 319450 + ... + 982886.

It is an arithmetic number, because the mean of its divisors is an integer number (5433557220).

Almost surely, 2^432008944416 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 432008944416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782432239680).

432008944416 is an abundant number, since it is smaller than the sum of its proper divisors (1132855534944).

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

432008944416 is a wasteful number, since it uses less digits than its factorization.

432008944416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663496 (or 663485 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 432008944416 in words is "four hundred thirty-two billion, eight million, nine hundred forty-four thousand, four hundred sixteen".