4044444404 has 192 divisors, whose sum is σ = 9799598592. Its totient is φ = 1410048000.

The previous prime is 4044444403. The next prime is 4044444431.

4044444404 = 5247² + 5248² + ... + 5389².

4044444404 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4044444403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29521424 + ... + 29521560.

It is an arithmetic number, because the mean of its divisors is an integer number (51039576).

Almost surely, 2^4044444404 is an apocalyptic number.

4044444404 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 4044444404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4899799296).

4044444404 is an abundant number, since it is smaller than the sum of its proper divisors (5755154188).

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

4044444404 is a wasteful number, since it uses less digits than its factorization.

4044444404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

The square root of 4044444404 is about 63595.9464431500. The cubic root of 4044444404 is about 1593.2586681903.

It can be divided in two parts, 40444 and 44404, that added together give a palindrome (84848).

The spelling of 4044444404 in words is "four billion, forty-four million, four hundred forty-four thousand, four hundred four".