432989225434752 has 256 divisors, whose sum is σ = 1316536371521280. Its totient is φ = 123513261096960.

The previous prime is 432989225434681. The next prime is 432989225434771. The reversal of 432989225434752 is 257434522989234.

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 31 ways as a sum of consecutive naturals, for example, 4492613188 + ... + 4492709564.

It is an arithmetic number, because the mean of its divisors is an integer number (5142720201255).

Almost surely, 2^{432989225434752} is an apocalyptic number.

432989225434752 is a gapful number since it is divisible by the number (42) 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 432989225434752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658268185760640).

432989225434752 is an abundant number, since it is smaller than the sum of its proper divisors (883547146086528).

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

432989225434752 is a wasteful number, since it uses less digits than its factorization.

432989225434752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99059 (or 99047 counting only the distinct ones).

The product of its digits is 1045094400, while the sum is 69.

The spelling of 432989225434752 in words is "four hundred thirty-two trillion, nine hundred eighty-nine billion, two hundred twenty-five million, four hundred thirty-four thousand, seven hundred fifty-two".