442104334224 has 160 divisors (see below), whose sum is σ = 1311252264960. Its totient is φ = 125736662016.

The previous prime is 442104334213. The next prime is 442104334229. The reversal of 442104334224 is 422433401244.

It is not an unprimeable number, because it can be changed into a prime (442104334229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122566629 + ... + 122570235.

It is an arithmetic number, because the mean of its divisors is an integer number (8195326656).

Almost surely, 2^442104334224 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 442104334224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655626132480).

442104334224 is an abundant number, since it is smaller than the sum of its proper divisors (869147930736).

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

442104334224 is a wasteful number, since it uses less digits than its factorization.

442104334224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5197 (or 5191 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 442104334224 its reverse (422433401244), we get a palindrome (864537735468).

The spelling of 442104334224 in words is "four hundred forty-two billion, one hundred four million, three hundred thirty-four thousand, two hundred twenty-four".