432321123234 has 256 divisors, whose sum is σ = 1216657612800. Its totient is φ = 100849432320.

The previous prime is 432321123193. The next prime is 432321123239.

It is a happy number.

432321123234 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (432321123239) 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 127 ways as a sum of consecutive naturals, for example, 10869027 + ... + 10908729.

It is an arithmetic number, because the mean of its divisors is an integer number (4752568800).

Almost surely, 2^432321123234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432321123234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608328806400).

432321123234 is an abundant number, since it is smaller than the sum of its proper divisors (784336489566).

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

432321123234 is a wasteful number, since it uses less digits than its factorization.

432321123234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39790 (or 39776 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

It can be divided in two parts, 432321 and 123234, that added together give a palindrome (555555).

The spelling of 432321123234 in words is "four hundred thirty-two billion, three hundred twenty-one million, one hundred twenty-three thousand, two hundred thirty-four".