432721483992 has 192 divisors, whose sum is σ = 1349393011200. Its totient is φ = 122711500800.

The previous prime is 432721483979. The next prime is 432721484009. The reversal of 432721483992 is 299384127234.

It is a happy number.

432721483992 is a `hidden beast` number, since 4 + 3 + 2 + 72 + 1 + 483 + 9 + 92 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 153500359 + ... + 153503177.

It is an arithmetic number, because the mean of its divisors is an integer number (7028088600).

Almost surely, 2^432721483992 is an apocalyptic number.

432721483992 is a gapful number since it is divisible by the number (42) 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 432721483992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674696505600).

432721483992 is an abundant number, since it is smaller than the sum of its proper divisors (916671527208).

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

432721483992 is a wasteful number, since it uses less digits than its factorization.

432721483992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5006 (or 4999 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 432721483992 in words is "four hundred thirty-two billion, seven hundred twenty-one million, four hundred eighty-three thousand, nine hundred ninety-two".