444422141224444 has 24 divisors (see below), whose sum is σ = 797162102927568. Its totient is φ = 216727215302400.

The previous prime is 444422141224393. The next prime is 444422141224489.

444422141224444 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×444422141224444³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 444422141224394 and 444422141224403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8209337149 + ... + 8209391284.

It is an arithmetic number, because the mean of its divisors is an integer number (33215087621982).

Almost surely, 2^{444422141224444} is an apocalyptic number.

It is an amenable number.

444422141224444 is a deficient number, since it is larger than the sum of its proper divisors (352739961703124).

444422141224444 is a wasteful number, since it uses less digits than its factorization.

444422141224444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16418728605 (or 16418728603 counting only the distinct ones).

The product of its digits is 4194304, while the sum is 46.

The spelling of 444422141224444 in words is "four hundred forty-four trillion, four hundred twenty-two billion, one hundred forty-one million, two hundred twenty-four thousand, four hundred forty-four".