4444440444444 has 288 divisors, whose sum is σ = 14408511835648. Its totient is φ = 1036798963200.

The previous prime is 4444440444419. The next prime is 4444440444467.

It is a happy number.

4444440444444 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4444440444393 and 4444440444402.

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, 4434339 + ... + 5343429.

Almost surely, 2^{4444440444444} is an apocalyptic number.

4444440444444 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 4444440444444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7204255917824).

4444440444444 is an abundant number, since it is smaller than the sum of its proper divisors (9964071391204).

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

4444440444444 is a wasteful number, since it uses less digits than its factorization.

4444440444444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909177 (or 909164 counting only the distinct ones).

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

Multiplying 4444440444444 by its sum of digits (48), we get a palindrome (213333141333312).

It can be divided in two parts, 4444440 and 444444, that added together give a palindrome (4888884).

The spelling of 4444440444444 in words is "four trillion, four hundred forty-four billion, four hundred forty million, four hundred forty-four thousand, four hundred forty-four".