442230320016 has 135 divisors (see below), whose sum is σ = 1249285218363. Its totient is φ = 146034878400.

The previous prime is 442230320009. The next prime is 442230320017. The reversal of 442230320016 is 610023032244.

The square root of 442230320016 is 665004.

It is a perfect power (a square), and thus also a powerful number.

442230320016 is a `hidden beast` number, since 4 + 422 + 30 + 3 + 200 + 1 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (442230320017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1204987065 + ... + 1204987431.

Almost surely, 2^442230320016 is an apocalyptic number.

442230320016 is the 665004-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442230320016

442230320016 is an abundant number, since it is smaller than the sum of its proper divisors (807054898347).

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

442230320016 is an equidigital number, since it uses as much as digits as its factorization.

442230320016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 442230320016 in words is "four hundred forty-two billion, two hundred thirty million, three hundred twenty thousand, sixteen".