14114142304200 has 144 divisors (see below), whose sum is σ = 47423671186320. Its totient is φ = 3761891253120.

The previous prime is 14114142304169. The next prime is 14114142304237. The reversal of 14114142304200 is 240324141141.

14114142304200 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 4 + 1 + 4 + 230 + 420 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1648039 + ... + 5562761.

It is an arithmetic number, because the mean of its divisors is an integer number (329331049905).

Almost surely, 2^{14114142304200} is an apocalyptic number.

14114142304200 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 14114142304200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23711835593160).

14114142304200 is an abundant number, since it is smaller than the sum of its proper divisors (33309528882120).

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

14114142304200 is a wasteful number, since it uses less digits than its factorization.

14114142304200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3916748 (or 3916736 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 14114142304200 its reverse (240324141141), we get a palindrome (14354466445341).

The spelling of 14114142304200 in words is "fourteen trillion, one hundred fourteen billion, one hundred forty-two million, three hundred four thousand, two hundred".