432162756480 has 1024 divisors, whose sum is σ = 1775695380480. Its totient is φ = 86951854080.

The previous prime is 432162756437. The next prime is 432162756499. The reversal of 432162756480 is 84657261234.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 395390814 + ... + 395391906.

It is an arithmetic number, because the mean of its divisors is an integer number (1734077520).

Almost surely, 2^432162756480 is an apocalyptic number.

432162756480 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 432162756480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887847690240).

432162756480 is an abundant number, since it is smaller than the sum of its proper divisors (1343532624000).

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

432162756480 is a wasteful number, since it uses less digits than its factorization.

432162756480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 432162756480 in words is "four hundred thirty-two billion, one hundred sixty-two million, seven hundred fifty-six thousand, four hundred eighty".