442246727642244 has 96 divisors (see below), whose sum is σ = 1204636342726656. Its totient is φ = 123645217125120.

The previous prime is 442246727642179. The next prime is 442246727642287.

442246727642244 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×442246727642244² (a number of 30 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11431864 + ... + 31861904.

It is an arithmetic number, because the mean of its divisors is an integer number (12548295236736).

Almost surely, 2^{442246727642244} 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 442246727642244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602318171363328).

442246727642244 is an abundant number, since it is smaller than the sum of its proper divisors (762389615084412).

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

442246727642244 is a wasteful number, since it uses less digits than its factorization.

442246727642244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20435585 (or 20435583 counting only the distinct ones).

The product of its digits is 231211008, while the sum is 60.

The spelling of 442246727642244 in words is "four hundred forty-two trillion, two hundred forty-six billion, seven hundred twenty-seven million, six hundred forty-two thousand, two hundred forty-four".