4004440444444 has 48 divisors (see below), whose sum is σ = 7699800278016. Its totient is φ = 1807133515200.

The previous prime is 4004440444439. The next prime is 4004440444447. The reversal of 4004440444444 is 4444440444004.

It is a junction number, because it is equal to n+sod(n) for n = 4004440444397 and 4004440444406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004440444447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8268297 + ... + 8739199.

It is an arithmetic number, because the mean of its divisors is an integer number (160412505792).

Almost surely, 2^{4004440444444} is an apocalyptic number.

4004440444444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4004440444444 is a deficient number, since it is larger than the sum of its proper divisors (3695359833572).

4004440444444 is a wasteful number, since it uses less digits than its factorization.

4004440444444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472306 (or 472304 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 40.

Adding to 4004440444444 its reverse (4444440444004), we get a palindrome (8448880888448).

The spelling of 4004440444444 in words is "four trillion, four billion, four hundred forty million, four hundred forty-four thousand, four hundred forty-four".