4044404444400 has 240 divisors, whose sum is σ = 14459644523520. Its totient is φ = 1073670854400.

The previous prime is 4044404444357. The next prime is 4044404444411. The reversal of 4044404444400 is 44444044404.

4044404444400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1568755 + ... + 3248045.

It is an arithmetic number, because the mean of its divisors is an integer number (60248518848).

Almost surely, 2^{4044404444400} is an apocalyptic number.

4044404444400 is a gapful number since it is divisible by the number (40) 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 4044404444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7229822261760).

4044404444400 is an abundant number, since it is smaller than the sum of its proper divisors (10415240079120).

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

4044404444400 is a wasteful number, since it uses less digits than its factorization.

4044404444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679541 (or 1679524 counting only the distinct ones).

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

Adding to 4044404444400 its reverse (44444044404), we get a palindrome (4088848488804).

The spelling of 4044404444400 in words is "four trillion, forty-four billion, four hundred four million, four hundred forty-four thousand, four hundred".