444444444444 has 384 divisors, whose sum is σ = 1444321880064. Its totient is φ = 102643200000.

The previous prime is 444444444443. The next prime is 444444444461.

It is a happy number.

444444444444 is nontrivially palindromic in base 10.

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

444444444444 is a modest number, since divided by 4444444 gives 44444 as remainder.

444444444444 is a nontrivial repdigit in base 10.

It is a plaindrome in base 10.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 444444444393 and 444444444402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444444444443) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44883894 + ... + 44893794.

It is an arithmetic number, because the mean of its divisors is an integer number (3761254896).

Almost surely, 2^444444444444 is an apocalyptic number.

444444444444 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 444444444444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722160940032).

444444444444 is an abundant number, since it is smaller than the sum of its proper divisors (999877435620).

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

444444444444 is a wasteful number, since it uses less digits than its factorization.

444444444444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10077 (or 10075 counting only the distinct ones).

The product of its digits is 16777216, while the sum is 48.

Multiplying 444444444444 by its sum of digits (48), we get a palindrome (21333333333312).

It can be divided in two parts, 444444 and 444444, that added together give a palindrome (888888).

The spelling of 444444444444 in words is "four hundred forty-four billion, four hundred forty-four million, four hundred forty-four thousand, four hundred forty-four".