404400444444 has 18 divisors (see below), whose sum is σ = 1022234456880. Its totient is φ = 134800148136.

The previous prime is 404400444389. The next prime is 404400444449. The reversal of 404400444444 is 444444004404.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 11233345679 = 404400444444 / (4 + 0 + 4 + 4 + 0 + 0 + 4 + 4 + 4 + 4 + 4 + 4).

404400444444 is a modest number, since divided by 444444 gives 404400 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 404400444399 and 404400444408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404400444449) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5616672804 + ... + 5616672875.

It is an arithmetic number, because the mean of its divisors is an integer number (56790803160).

Almost surely, 2^404400444444 is an apocalyptic number.

It is an amenable number.

404400444444 is an abundant number, since it is smaller than the sum of its proper divisors (617834012436).

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

404400444444 is a wasteful number, since it uses less digits than its factorization.

404400444444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11233345689 (or 11233345684 counting only the distinct ones).

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

Adding to 404400444444 its reverse (444444004404), we get a palindrome (848844448848).

The spelling of 404400444444 in words is "four hundred four billion, four hundred million, four hundred forty-four thousand, four hundred forty-four".