14001200034201 has 24 divisors (see below), whose sum is σ = 20739239506440. Its totient is φ = 9096793900800.

The previous prime is 14001200034181. The next prime is 14001200034209. The reversal of 14001200034201 is 10243000210041.

14001200034201 is a `hidden beast` number, since 1 + 40 + 0 + 1 + 200 + 0 + 3 + 420 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3975142738176 + 10026057296025 = 1993776^2 + 3166395^2 .

It is not a de Polignac number, because 14001200034201 - 2⁶ = 14001200034137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14001200034209) 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, 19814106 + ... + 20508563.

It is an arithmetic number, because the mean of its divisors is an integer number (864134979435).

Almost surely, 2^{14001200034201} is an apocalyptic number.

It is an amenable number.

14001200034201 is a deficient number, since it is larger than the sum of its proper divisors (6738039472239).

14001200034201 is a wasteful number, since it uses less digits than its factorization.

14001200034201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40323657 (or 40323654 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 14001200034201 its reverse (10243000210041), we get a palindrome (24244200244242).

The spelling of 14001200034201 in words is "fourteen trillion, one billion, two hundred million, thirty-four thousand, two hundred one".