14013341341200 has 720 divisors, whose sum is σ = 50247962174592. Its totient is φ = 3614284800000.

The previous prime is 14013341341187. The next prime is 14013341341211. The reversal of 14013341341200 is 214314331041.

14013341341200 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 3 + 3 + 413 + 41 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17279088795 + ... + 17279089605.

Almost surely, 2^{14013341341200} is an apocalyptic number.

14013341341200 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 14013341341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25123981087296).

14013341341200 is an abundant number, since it is smaller than the sum of its proper divisors (36234620833392).

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

14013341341200 is a wasteful number, since it uses less digits than its factorization.

14013341341200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1744 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 14013341341200 its reverse (214314331041), we get a palindrome (14227655672241).

The spelling of 14013341341200 in words is "fourteen trillion, thirteen billion, three hundred forty-one million, three hundred forty-one thousand, two hundred".