432315015132000 has 768 divisors, whose sum is σ = 1901557297575936. Its totient is φ = 82921559040000.

The previous prime is 432315015131981. The next prime is 432315015132017. The reversal of 432315015132000 is 231510513234.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 5983131 + ... + 30007130.

It is an arithmetic number, because the mean of its divisors is an integer number (2475986064552).

Almost surely, 2^{432315015132000} is an apocalyptic number.

432315015132000 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 432315015132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950778648787968).

432315015132000 is an abundant number, since it is smaller than the sum of its proper divisors (1469242282443936).

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

432315015132000 is a wasteful number, since it uses less digits than its factorization.

432315015132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35990320 (or 35990302 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 432315015132000 its reverse (231510513234), we get a palindrome (432546525645234).

The spelling of 432315015132000 in words is "four hundred thirty-two trillion, three hundred fifteen billion, fifteen million, one hundred thirty-two thousand".