432442024032 has 96 divisors (see below), whose sum is σ = 1195613395200. Its totient is φ = 136479748608.

The previous prime is 432442023983. The next prime is 432442024073. The reversal of 432442024032 is 230420244234.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×432442024032² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3047853 + ... + 3186579.

It is an arithmetic number, because the mean of its divisors is an integer number (12454306200).

Almost surely, 2^432442024032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432442024032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597806697600).

432442024032 is an abundant number, since it is smaller than the sum of its proper divisors (763171371168).

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

432442024032 is a wasteful number, since it uses less digits than its factorization.

432442024032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140468 (or 140460 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 432442024032 its reverse (230420244234), we get a palindrome (662862268266).

The spelling of 432442024032 in words is "four hundred thirty-two billion, four hundred forty-two million, twenty-four thousand, thirty-two".