442242242242244 has 48 divisors (see below), whose sum is σ = 790442393395200. Its totient is φ = 216448014537216.

The previous prime is 442242242242243. The next prime is 442242242242247.

442242242242244 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 442242242242195 and 442242242242204.

It is not an unprimeable number, because it can be changed into a prime (442242242242243) 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 15 ways as a sum of consecutive naturals, for example, 165047597 + ... + 167705675.

It is an arithmetic number, because the mean of its divisors is an integer number (16467549862400).

Almost surely, 2^{442242242242244} is an apocalyptic number.

It is an amenable number.

442242242242244 is a deficient number, since it is larger than the sum of its proper divisors (348200151152956).

442242242242244 is a wasteful number, since it uses less digits than its factorization.

442242242242244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662452 (or 2662450 counting only the distinct ones).

The product of its digits is 4194304, while the sum is 44.

The spelling of 442242242242244 in words is "four hundred forty-two trillion, two hundred forty-two billion, two hundred forty-two million, two hundred forty-two thousand, two hundred forty-four".