442221434320 has 20 divisors (see below), whose sum is σ = 1028164834980. Its totient is φ = 176888573696.

The previous prime is 442221434293. The next prime is 442221434341. The reversal of 442221434320 is 23434122244.

It can be written as a sum of positive squares in 2 ways, for example, as 205803766336 + 236417667984 = 453656^2 + 486228^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2763883885 + ... + 2763884044.

It is an arithmetic number, because the mean of its divisors is an integer number (51408241749).

Almost surely, 2^442221434320 is an apocalyptic number.

442221434320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442221434320 is an abundant number, since it is smaller than the sum of its proper divisors (585943400660).

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

442221434320 is a wasteful number, since it uses less digits than its factorization.

442221434320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5527767942 (or 5527767936 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 442221434320 its reverse (23434122244), we get a palindrome (465655556564).

The spelling of 442221434320 in words is "four hundred forty-two billion, two hundred twenty-one million, four hundred thirty-four thousand, three hundred twenty".