442414414244 has 96 divisors (see below), whose sum is σ = 877104353664. Its totient is φ = 193506001920.

The previous prime is 442414414223. The next prime is 442414414279.

442414414244 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 = 442414414198 and 442414414207.

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, 189632102 + ... + 189634434.

It is an arithmetic number, because the mean of its divisors is an integer number (9136503684).

Almost surely, 2^442414414244 is an apocalyptic number.

442414414244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442414414244 is a deficient number, since it is larger than the sum of its proper divisors (434689939420).

442414414244 is a wasteful number, since it uses less digits than its factorization.

442414414244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3837 (or 3835 counting only the distinct ones).

The product of its digits is 262144, while the sum is 38.

It can be divided in two parts, 442414 and 414244, that added together give a palindrome (856658).

The spelling of 442414414244 in words is "four hundred forty-two billion, four hundred fourteen million, four hundred fourteen thousand, two hundred forty-four".