442246260224 has 80 divisors (see below), whose sum is σ = 889343495040. Its totient is φ = 219695431680.

The previous prime is 442246260223. The next prime is 442246260263. The reversal of 442246260224 is 422062642244.

It is a super-2 number, since 2×442246260224² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442246260223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163008692 + ... + 163011404.

It is an arithmetic number, because the mean of its divisors is an integer number (11116793688).

Almost surely, 2^442246260224 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 442246260224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444671747520).

442246260224 is an abundant number, since it is smaller than the sum of its proper divisors (447097234816).

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

442246260224 is a wasteful number, since it uses less digits than its factorization.

442246260224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4671 (or 4655 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 38.

The spelling of 442246260224 in words is "four hundred forty-two billion, two hundred forty-six million, two hundred sixty thousand, two hundred twenty-four".