14414054312200 has 96 divisors (see below), whose sum is σ = 34345551699360. Its totient is φ = 5622749798400.

The previous prime is 14414054312159. The next prime is 14414054312201. The reversal of 14414054312200 is 221345041441.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (14414054312201) 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, 4205227 + ... + 6819973.

It is an arithmetic number, because the mean of its divisors is an integer number (357766163535).

Almost surely, 2^{14414054312200} is an apocalyptic number.

14414054312200 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 14414054312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17172775849680).

14414054312200 is an abundant number, since it is smaller than the sum of its proper divisors (19931497387160).

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

14414054312200 is a wasteful number, since it uses less digits than its factorization.

14414054312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2615447 (or 2615438 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 14414054312200 its reverse (221345041441), we get a palindrome (14635399353641).

The spelling of 14414054312200 in words is "fourteen trillion, four hundred fourteen billion, fifty-four million, three hundred twelve thousand, two hundred".