432289090320 has 320 divisors, whose sum is σ = 1423792871424. Its totient is φ = 108277678080.

The previous prime is 432289090283. The next prime is 432289090349. The reversal of 432289090320 is 23090982234.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70139559 + ... + 70145721.

Almost surely, 2^432289090320 is an apocalyptic number.

432289090320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432289090320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711896435712).

432289090320 is an abundant number, since it is smaller than the sum of its proper divisors (991503781104).

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

432289090320 is a wasteful number, since it uses less digits than its factorization.

432289090320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6430 (or 6424 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 432289090320 in words is "four hundred thirty-two billion, two hundred eighty-nine million, ninety thousand, three hundred twenty".