14004241311204 has 18 divisors (see below), whose sum is σ = 35399609981190. Its totient is φ = 4668080437056.

The previous prime is 14004241311143. The next prime is 14004241311223. The reversal of 14004241311204 is 40211314240041.

14004241311204 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 42 + 413 + 1 + 1 + 204 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12807737864100 + 1196503447104 = 3578790^2 + 1093848^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×14004241311204² (a number of 27 digits) contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 194503351509 + ... + 194503351580.

It is an arithmetic number, because the mean of its divisors is an integer number (1966644998955).

Almost surely, 2^{14004241311204} is an apocalyptic number.

It is an amenable number.

14004241311204 is an abundant number, since it is smaller than the sum of its proper divisors (21395368669986).

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

14004241311204 is a wasteful number, since it uses less digits than its factorization.

14004241311204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389006703099 (or 389006703094 counting only the distinct ones).

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

Adding to 14004241311204 its reverse (40211314240041), we get a palindrome (54215555551245).

The spelling of 14004241311204 in words is "fourteen trillion, four billion, two hundred forty-one million, three hundred eleven thousand, two hundred four".