414300442200211 has 16 divisors (see below), whose sum is σ = 494385479539200. Its totient is φ = 339459776238528.

The previous prime is 414300442200187. The next prime is 414300442200217. The reversal of 414300442200211 is 112002244003414.

It is a cyclic number.

It is not a de Polignac number, because 414300442200211 - 2²¹ = 414300440103059 is a prime.

It is a super-3 number, since 3×414300442200211³ (a number of 45 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 414300442200211.

It is not an unprimeable number, because it can be changed into a prime (414300442200217) 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, 814595266 + ... + 815103703.

It is an arithmetic number, because the mean of its divisors is an integer number (30899092471200).

Almost surely, 2^{414300442200211} is an apocalyptic number.

414300442200211 is a deficient number, since it is larger than the sum of its proper divisors (80085037338989).

414300442200211 is a wasteful number, since it uses less digits than its factorization.

414300442200211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629700578.

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 414300442200211 its reverse (112002244003414), we get a palindrome (526302686203625).

The spelling of 414300442200211 in words is "four hundred fourteen trillion, three hundred billion, four hundred forty-two million, two hundred thousand, two hundred eleven".