4404404400444 has 36 divisors (see below), whose sum is σ = 11274284126560. Its totient is φ = 1449550814400.

The previous prime is 4404404400433. The next prime is 4404404400449. The reversal of 4404404400444 is 4440044044044.

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

It is a super-2 number, since 2×4404404400444² (a number of 26 digits) contains 22 as substring.

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 = 4404404400399 and 4404404400408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4404404400449) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 774329857 + ... + 774335544.

Almost surely, 2^{4404404400444} is an apocalyptic number.

It is an amenable number.

4404404400444 is an abundant number, since it is smaller than the sum of its proper divisors (6869879726116).

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

4404404400444 is a wasteful number, since it uses less digits than its factorization.

4404404400444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548665490 (or 1548665485 counting only the distinct ones).

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

Adding to 4404404400444 its reverse (4440044044044), we get a palindrome (8844448444488).

The spelling of 4404404400444 in words is "four trillion, four hundred four billion, four hundred four million, four hundred thousand, four hundred forty-four".