442320003456 has 256 divisors, whose sum is σ = 1227794008320. Its totient is φ = 140966092800.

The previous prime is 442320003451. The next prime is 442320003457. The reversal of 442320003456 is 654300023244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442320003451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199152426 + ... + 199154646.

It is an arithmetic number, because the mean of its divisors is an integer number (4796070345).

Almost surely, 2^442320003456 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 442320003456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613897004160).

442320003456 is an abundant number, since it is smaller than the sum of its proper divisors (785474004864).

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

442320003456 is a wasteful number, since it uses less digits than its factorization.

442320003456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2513 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 33.

The spelling of 442320003456 in words is "four hundred forty-two billion, three hundred twenty million, three thousand, four hundred fifty-six".