432442000000 has 224 divisors, whose sum is σ = 1081504906560. Its totient is φ = 172233600000.

The previous prime is 432441999953. The next prime is 432442000021. The reversal of 432442000000 is 244234.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 925999767 + ... + 926000233.

Almost surely, 2^432442000000 is an apocalyptic number.

432442000000 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 432442000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540752453280).

432442000000 is an abundant number, since it is smaller than the sum of its proper divisors (649062906560).

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

432442000000 is an frugal number, since it uses more digits than its factorization.

432442000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

Adding to 432442000000 its reverse (244234), we get a palindrome (432442244234).

The spelling of 432442000000 in words is "four hundred thirty-two billion, four hundred forty-two million", and thus it is an aban number.