442223020144 has 80 divisors (see below), whose sum is σ = 917130764160. Its totient is φ = 205832908800.

The previous prime is 442223020139. The next prime is 442223020153. The reversal of 442223020144 is 441020322244.

It is a super-2 number, since 2×442223020144² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28535662 + ... + 28551154.

It is an arithmetic number, because the mean of its divisors is an integer number (11464134552).

Almost surely, 2^442223020144 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 442223020144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458565382080).

442223020144 is an abundant number, since it is smaller than the sum of its proper divisors (474907744016).

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

442223020144 is a wasteful number, since it uses less digits than its factorization.

442223020144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16658 (or 16652 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 442223020144 its reverse (441020322244), we get a palindrome (883243342388).

The spelling of 442223020144 in words is "four hundred forty-two billion, two hundred twenty-three million, twenty thousand, one hundred forty-four".