442000332224 has 56 divisors (see below), whose sum is σ = 957210988800. Its totient is φ = 200829300480.

The previous prime is 442000332217. The next prime is 442000332251. The reversal of 442000332224 is 422233000244.

It is a happy number.

It is a super-2 number, since 2×442000332224² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 442000332193 and 442000332202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1663817 + ... + 1911095.

Almost surely, 2^442000332224 is an apocalyptic number.

442000332224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442000332224 is an abundant number, since it is smaller than the sum of its proper divisors (515210656576).

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

442000332224 is a wasteful number, since it uses less digits than its factorization.

442000332224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249841 (or 249831 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 442000332224 its reverse (422233000244), we get a palindrome (864233332468).

The spelling of 442000332224 in words is "four hundred forty-two billion, three hundred thirty-two thousand, two hundred twenty-four".