4040444004444 has 36 divisors (see below), whose sum is σ = 10814129542944. Its totient is φ = 1267590275712.

The previous prime is 4040444004431. The next prime is 4040444004469. The reversal of 4040444004444 is 4444004440404.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4040444004399 and 4040444004408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3301015732 + ... + 3301016955.

It is an arithmetic number, because the mean of its divisors is an integer number (300392487304).

Almost surely, 2^{4040444004444} is an apocalyptic number.

It is an amenable number.

4040444004444 is an abundant number, since it is smaller than the sum of its proper divisors (6773685538500).

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

4040444004444 is a wasteful number, since it uses less digits than its factorization.

4040444004444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6602032714 (or 6602032709 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 4040444004444 its reverse (4444004440404), we get a palindrome (8484448444848).

The spelling of 4040444004444 in words is "four trillion, forty billion, four hundred forty-four million, four thousand, four hundred forty-four".