14441014140200 has 96 divisors (see below), whose sum is σ = 35382515656800. Its totient is φ = 5466185544960.

The previous prime is 14441014140167. The next prime is 14441014140209. The reversal of 14441014140200 is 204141014441.

It is a self number, because there is not a number n which added to its sum of digits gives 14441014140200.

It is not an unprimeable number, because it can be changed into a prime (14441014140209) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1203494 + ... + 5507306.

It is an arithmetic number, because the mean of its divisors is an integer number (368567871425).

Almost surely, 2^{14441014140200} is an apocalyptic number.

14441014140200 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 14441014140200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17691257828400).

14441014140200 is an abundant number, since it is smaller than the sum of its proper divisors (20941501516600).

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

14441014140200 is a wasteful number, since it uses less digits than its factorization.

14441014140200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4304731 (or 4304722 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 14441014140200 its reverse (204141014441), we get a palindrome (14645155154641).

The spelling of 14441014140200 in words is "fourteen trillion, four hundred forty-one billion, fourteen million, one hundred forty thousand, two hundred".