442331133244 has 96 divisors (see below), whose sum is σ = 1041008371200. Its totient is φ = 158822242560.

The previous prime is 442331133193. The next prime is 442331133253.

442331133244 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2389242 + ... + 2567710.

It is an arithmetic number, because the mean of its divisors is an integer number (10843837200).

Almost surely, 2^442331133244 is an apocalyptic number.

442331133244 is a gapful number since it is divisible by the number (44) 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 442331133244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520504185600).

442331133244 is an abundant number, since it is smaller than the sum of its proper divisors (598677237956).

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

442331133244 is a wasteful number, since it uses less digits than its factorization.

442331133244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179123 (or 179121 counting only the distinct ones).

The product of its digits is 82944, while the sum is 34.

It can be divided in two parts, 442331 and 133244, that added together give a palindrome (575575).

The spelling of 442331133244 in words is "four hundred forty-two billion, three hundred thirty-one million, one hundred thirty-three thousand, two hundred forty-four".