14313141440200 has 96 divisors (see below), whose sum is σ = 34728747485760. Its totient is φ = 5475729670400.

The previous prime is 14313141440183. The next prime is 14313141440201. The reversal of 14313141440200 is 204414131341.

It is not an unprimeable number, because it can be changed into a prime (14313141440201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42802047 + ... + 43135153.

It is an arithmetic number, because the mean of its divisors is an integer number (361757786310).

Almost surely, 2^{14313141440200} is an apocalyptic number.

14313141440200 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 14313141440200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17364373742880).

14313141440200 is an abundant number, since it is smaller than the sum of its proper divisors (20415606045560).

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

14313141440200 is a wasteful number, since it uses less digits than its factorization.

14313141440200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342487 (or 342478 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 14313141440200 its reverse (204414131341), we get a palindrome (14517555571541).

The spelling of 14313141440200 in words is "fourteen trillion, three hundred thirteen billion, one hundred forty-one million, four hundred forty thousand, two hundred".