414213234411304 has 16 divisors (see below), whose sum is σ = 777494917706400. Its totient is φ = 206881256356272.

The previous prime is 414213234411289. The next prime is 414213234411307. The reversal of 414213234411304 is 403114432312414.

It is a super-2 number, since 2×414213234411304² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (414213234411307) 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 3 ways as a sum of consecutive naturals, for example, 28170098362 + ... + 28170113065.

It is an arithmetic number, because the mean of its divisors is an integer number (48593432356650).

Almost surely, 2^{414213234411304} is an apocalyptic number.

It is an amenable number.

414213234411304 is a deficient number, since it is larger than the sum of its proper divisors (363281683295096).

414213234411304 is a wasteful number, since it uses less digits than its factorization.

414213234411304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56340212352 (or 56340212348 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 37.

Adding to 414213234411304 its reverse (403114432312414), we get a palindrome (817327666723718).

The spelling of 414213234411304 in words is "four hundred fourteen trillion, two hundred thirteen billion, two hundred thirty-four million, four hundred eleven thousand, three hundred four".