4044404444200 has 192 divisors, whose sum is σ = 10077178233600. Its totient is φ = 1504979481600.

The previous prime is 4044404444137. The next prime is 4044404444281. The reversal of 4044404444200 is 24444044404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142079169 + ... + 142107631.

It is an arithmetic number, because the mean of its divisors is an integer number (52485303300).

Almost surely, 2^{4044404444200} is an apocalyptic number.

4044404444200 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 4044404444200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5038589116800).

4044404444200 is an abundant number, since it is smaller than the sum of its proper divisors (6032773789400).

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

4044404444200 is a wasteful number, since it uses less digits than its factorization.

4044404444200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29172 (or 29163 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 34.

Adding to 4044404444200 its reverse (24444044404), we get a palindrome (4068848488604).

The spelling of 4044404444200 in words is "four trillion, forty-four billion, four hundred four million, four hundred forty-four thousand, two hundred".