432278332416 has 1320 divisors, whose sum is σ = 1604726424576. Its totient is φ = 115378421760.

The previous prime is 432278332393. The next prime is 432278332441. The reversal of 432278332416 is 614233872234.

432278332416 is a `hidden beast` number, since 4 + 3 + 2 + 278 + 332 + 41 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5921620956 + ... + 5921621028.

Almost surely, 2^432278332416 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 432278332416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802363212288).

432278332416 is an abundant number, since it is smaller than the sum of its proper divisors (1172448092160).

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

432278332416 is a wasteful number, since it uses less digits than its factorization.

432278332416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 163 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The spelling of 432278332416 in words is "four hundred thirty-two billion, two hundred seventy-eight million, three hundred thirty-two thousand, four hundred sixteen".