432135285120 has 1280 divisors, whose sum is σ = 1951702663680. Its totient is φ = 88504565760.

The previous prime is 432135285107. The next prime is 432135285149. The reversal of 432135285120 is 21582531234.

432135285120 is a `hidden beast` number, since 4 + 3 + 2 + 1 + 3 + 528 + 5 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 291391899 + ... + 291393381.

It is an arithmetic number, because the mean of its divisors is an integer number (1524767706).

Almost surely, 2^432135285120 is an apocalyptic number.

432135285120 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 432135285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975851331840).

432135285120 is an abundant number, since it is smaller than the sum of its proper divisors (1519567378560).

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

432135285120 is a wasteful number, since it uses less digits than its factorization.

432135285120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 432135285120 in words is "four hundred thirty-two billion, one hundred thirty-five million, two hundred eighty-five thousand, one hundred twenty".