442044138496 has 99 divisors (see below), whose sum is σ = 898399627671. Its totient is φ = 217394571264.

The previous prime is 442044138491. The next prime is 442044138527. The reversal of 442044138496 is 694831440244.

The square root of 442044138496 is 664864.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (442044138491) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1680776061 + ... + 1680776323.

Almost surely, 2^442044138496 is an apocalyptic number.

442044138496 is the 664864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442044138496

442044138496 is an abundant number, since it is smaller than the sum of its proper divisors (456355489175).

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

442044138496 is an frugal number, since it uses more digits than its factorization.

442044138496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 49.

Multiplying 442044138496 by its sum of digits (49), we get a square (21660162786304 = 4654048²).

The spelling of 442044138496 in words is "four hundred forty-two billion, forty-four million, one hundred thirty-eight thousand, four hundred ninety-six".