14102402013200 has 180 divisors, whose sum is σ = 36340717795200. Its totient is φ = 5257590097920.

The previous prime is 14102402013187. The next prime is 14102402013229. The reversal of 14102402013200 is 231020420141.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 11314601 + ... + 12498999.

It is an arithmetic number, because the mean of its divisors is an integer number (201892876640).

Almost surely, 2^{14102402013200} is an apocalyptic number.

14102402013200 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 14102402013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18170358897600).

14102402013200 is an abundant number, since it is smaller than the sum of its proper divisors (22238315782000).

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

14102402013200 is a wasteful number, since it uses less digits than its factorization.

14102402013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184554 (or 1184526 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 14102402013200 its reverse (231020420141), we get a palindrome (14333422433341).

The spelling of 14102402013200 in words is "fourteen trillion, one hundred two billion, four hundred two million, thirteen thousand, two hundred".