432234132240000 has 320 divisors, whose sum is σ = 1441013559179040. Its totient is φ = 114754656768000.

The previous prime is 432234132239969. The next prime is 432234132240017. The reversal of 432234132240000 is 42231432234.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a self number, because there is not a number n which added to its sum of digits gives 432234132240000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 50513094 + ... + 58446906.

Almost surely, 2^{432234132240000} is an apocalyptic number.

432234132240000 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 432234132240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720506779589520).

432234132240000 is an abundant number, since it is smaller than the sum of its proper divisors (1008779426939040).

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

432234132240000 is an equidigital number, since it uses as much as digits as its factorization.

432234132240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7934077 (or 7934050 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 432234132240000 its reverse (42231432234), we get a palindrome (432276363672234).

The spelling of 432234132240000 in words is "four hundred thirty-two trillion, two hundred thirty-four billion, one hundred thirty-two million, two hundred forty thousand".