432344000000 has 560 divisors, whose sum is σ = 1251560542320. Its totient is φ = 147968000000.

The previous prime is 432343999999. The next prime is 432344000009. The reversal of 432344000000 is 443234.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432344000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 25431999992 + ... + 25432000008.

Almost surely, 2^432344000000 is an apocalyptic number.

432344000000 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 432344000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625780271160).

432344000000 is an abundant number, since it is smaller than the sum of its proper divisors (819216542320).

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

432344000000 is an frugal number, since it uses more digits than its factorization.

432344000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 432344000000 its reverse (443234), we get a palindrome (432344443234).

The spelling of 432344000000 in words is "four hundred thirty-two billion, three hundred forty-four million", and thus it is an aban number.