14014640314200 has 192 divisors, whose sum is σ = 44141601542400. Its totient is φ = 3677549299200.

The previous prime is 14014640314187. The next prime is 14014640314201. The reversal of 14014640314200 is 241304641041.

14014640314200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14014640314201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21965286 + ... + 22594314.

It is an arithmetic number, because the mean of its divisors is an integer number (229904174700).

Almost surely, 2^{14014640314200} is an apocalyptic number.

14014640314200 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 14014640314200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22070800771200).

14014640314200 is an abundant number, since it is smaller than the sum of its proper divisors (30126961228200).

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

14014640314200 is a wasteful number, since it uses less digits than its factorization.

14014640314200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629642 (or 629633 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 14014640314200 its reverse (241304641041), we get a palindrome (14255944955241).

The spelling of 14014640314200 in words is "fourteen trillion, fourteen billion, six hundred forty million, three hundred fourteen thousand, two hundred".