432120134000 has 80 divisors (see below), whose sum is σ = 1045167423456. Its totient is φ = 172798272000.

The previous prime is 432120133967. The next prime is 432120134051. The reversal of 432120134000 is 431021234.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7352732 + ... + 7411268.

Almost surely, 2^432120134000 is an apocalyptic number.

432120134000 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 432120134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522583711728).

432120134000 is an abundant number, since it is smaller than the sum of its proper divisors (613047289456).

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

432120134000 is a wasteful number, since it uses less digits than its factorization.

432120134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62251 (or 62235 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 432120134000 its reverse (431021234), we get a palindrome (432551155234).

The spelling of 432120134000 in words is "four hundred thirty-two billion, one hundred twenty million, one hundred thirty-four thousand".