4144401100200 has 96 divisors (see below), whose sum is σ = 12849793364160. Its totient is φ = 1104988684800.

The previous prime is 4144401100193. The next prime is 4144401100219. The reversal of 4144401100200 is 20011044414.

4144401100200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3029260 + ... + 4179140.

It is an arithmetic number, because the mean of its divisors is an integer number (133852014210).

Almost surely, 2^{4144401100200} is an apocalyptic number.

4144401100200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4144401100200 is an abundant number, since it is smaller than the sum of its proper divisors (8705392263960).

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

4144401100200 is a wasteful number, since it uses less digits than its factorization.

4144401100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155907 (or 1155898 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 4144401100200 its reverse (20011044414), we get a palindrome (4164412144614).

The spelling of 4144401100200 in words is "four trillion, one hundred forty-four billion, four hundred one million, one hundred thousand, two hundred".