432025476445122 has 128 divisors (see below), whose sum is σ = 1012512227328000. Its totient is φ = 120328843187520.

The previous prime is 432025476445109. The next prime is 432025476445231. The reversal of 432025476445122 is 221544674520234.

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 63 ways as a sum of consecutive naturals, for example, 1871688643 + ... + 1871919449.

It is an arithmetic number, because the mean of its divisors is an integer number (7910251776000).

Almost surely, 2^{432025476445122} is an apocalyptic number.

432025476445122 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 432025476445122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506256113664000).

432025476445122 is an abundant number, since it is smaller than the sum of its proper divisors (580486750882878).

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

432025476445122 is a wasteful number, since it uses less digits than its factorization.

432025476445122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234636.

The product of its (nonzero) digits is 12902400, while the sum is 51.

The spelling of 432025476445122 in words is "four hundred thirty-two trillion, twenty-five billion, four hundred seventy-six million, four hundred forty-five thousand, one hundred twenty-two".