442553402224 has 80 divisors (see below), whose sum is σ = 914318229888. Its totient is φ = 206790045696.

The previous prime is 442553402197. The next prime is 442553402237. The reversal of 442553402224 is 422204355244.

It is a happy number.

It is a super-3 number, since 3×442553402224³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22065769 + ... + 22085815.

Almost surely, 2^442553402224 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 442553402224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457159114944).

442553402224 is an abundant number, since it is smaller than the sum of its proper divisors (471764827664).

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

442553402224 is a wasteful number, since it uses less digits than its factorization.

442553402224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20642 (or 20636 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 37.

Adding to 442553402224 its reverse (422204355244), we get a palindrome (864757757468).

The spelling of 442553402224 in words is "four hundred forty-two billion, five hundred fifty-three million, four hundred two thousand, two hundred twenty-four".