442221521204224 has 88 divisors (see below), whose sum is σ = 936028959383880. Its totient is φ = 208100439883776.

The previous prime is 442221521204159. The next prime is 442221521204231. The reversal of 442221521204224 is 422402125122244.

It can be written as a sum of positive squares in 4 ways, for example, as 49451274265600 + 392770246938624 = 7032160^2 + 19818432^2 .

It is a super-2 number, since 2×442221521204224² (a number of 30 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 7 ways as a sum of consecutive naturals, for example, 1102021732 + ... + 1102422940.

Almost surely, 2^{442221521204224} is an apocalyptic number.

It is an amenable number.

442221521204224 is an abundant number, since it is smaller than the sum of its proper divisors (493807438179656).

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

442221521204224 is a wasteful number, since it uses less digits than its factorization.

442221521204224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464563 (or 464545 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 37.

Adding to 442221521204224 its reverse (422402125122244), we get a palindrome (864623646326468).

The spelling of 442221521204224 in words is "four hundred forty-two trillion, two hundred twenty-one billion, five hundred twenty-one million, two hundred four thousand, two hundred twenty-four".