414213242121 has 24 divisors (see below), whose sum is σ = 684236904000. Its totient is φ = 236535326496.

The previous prime is 414213242117. The next prime is 414213242129. The reversal of 414213242121 is 121242312414.

414213242121 is a `hidden beast` number, since 4 + 1 + 4 + 213 + 2 + 421 + 21 = 666.

It is not a de Polignac number, because 414213242121 - 2² = 414213242117 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414213242129) 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, 2098630 + ... + 2287503.

It is an arithmetic number, because the mean of its divisors is an integer number (28509871000).

Almost surely, 2^414213242121 is an apocalyptic number.

It is an amenable number.

414213242121 is a deficient number, since it is larger than the sum of its proper divisors (270023661879).

414213242121 is a wasteful number, since it uses less digits than its factorization.

414213242121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4387645 (or 4387642 counting only the distinct ones).

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

Adding to 414213242121 its reverse (121242312414), we get a palindrome (535455554535).

The spelling of 414213242121 in words is "four hundred fourteen billion, two hundred thirteen million, two hundred forty-two thousand, one hundred twenty-one".