14441005200 has 120 divisors (see below), whose sum is σ = 47043640800. Its totient is φ = 3785646080.

The previous prime is 14441005153. The next prime is 14441005217. The reversal of 14441005200 is 250014441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31185 + ... + 172784.

It is an arithmetic number, because the mean of its divisors is an integer number (392030340).

Almost surely, 2^14441005200 is an apocalyptic number.

14441005200 is a gapful number since it is divisible by the number (10) 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 14441005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23521820400).

14441005200 is an abundant number, since it is smaller than the sum of its proper divisors (32602635600).

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

14441005200 is a wasteful number, since it uses less digits than its factorization.

14441005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204049 (or 204038 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 14441005200 its reverse (250014441), we get a palindrome (14691019641).

The spelling of 14441005200 in words is "fourteen billion, four hundred forty-one million, five thousand, two hundred".