414021322121 has 16 divisors (see below), whose sum is σ = 452747773248. Its totient is φ = 375476601600.

The previous prime is 414021322097. The next prime is 414021322133. The reversal of 414021322121 is 121223120414.

It is a cyclic number.

It is not a de Polignac number, because 414021322121 - 2³⁴ = 396841452937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414021322621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43886021 + ... + 43895453.

It is an arithmetic number, because the mean of its divisors is an integer number (28296735828).

Almost surely, 2^414021322121 is an apocalyptic number.

It is an amenable number.

414021322121 is a deficient number, since it is larger than the sum of its proper divisors (38726451127).

414021322121 is a wasteful number, since it uses less digits than its factorization.

414021322121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18632.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 414021322121 its reverse (121223120414), we get a palindrome (535244442535).

The spelling of 414021322121 in words is "four hundred fourteen billion, twenty-one million, three hundred twenty-two thousand, one hundred twenty-one".