4444000004444 has 288 divisors, whose sum is σ = 11184548390400. Its totient is φ = 1499103936000.

The previous prime is 4444000004417. The next prime is 4444000004461.

4444000004444 is nontrivially palindromic in base 10.

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 4444000004444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84494147 + ... + 84546725.

Almost surely, 2^{4444000004444} is an apocalyptic number.

4444000004444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4444000004444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5592274195200).

4444000004444 is an abundant number, since it is smaller than the sum of its proper divisors (6740548385956).

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

4444000004444 is a wasteful number, since it uses less digits than its factorization.

4444000004444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52745 (or 52732 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

It can be divided in two parts, 444400000 and 4444, that added together give a palindrome (444404444).

The spelling of 4444000004444 in words is "four trillion, four hundred forty-four billion, four thousand, four hundred forty-four".