214004004402301 has 16 divisors (see below), whose sum is σ = 224018682663168. Its totient is φ = 204214941028800.

The previous prime is 214004004402211. The next prime is 214004004402313. The reversal of 214004004402301 is 103204400400412.

It is a cyclic number.

It is not a de Polignac number, because 214004004402301 - 2⁷ = 214004004402173 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214004004462301) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15190855 + ... + 25666516.

It is an arithmetic number, because the mean of its divisors is an integer number (14001167666448).

Almost surely, 2^{214004004402301} is an apocalyptic number.

It is an amenable number.

214004004402301 is a deficient number, since it is larger than the sum of its proper divisors (10014678260867).

214004004402301 is a wasteful number, since it uses less digits than its factorization.

214004004402301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40860132.

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 214004004402301 its reverse (103204400400412), we get a palindrome (317208404802713).

The spelling of 214004004402301 in words is "two hundred fourteen trillion, four billion, four million, four hundred two thousand, three hundred one".