414221102213 has 16 divisors (see below), whose sum is σ = 439563359664. Its totient is φ = 388988313600.

The previous prime is 414221102159. The next prime is 414221102219. The reversal of 414221102213 is 312201122414.

It can be written as a sum of positive squares in 8 ways, for example, as 41146905409 + 373074196804 = 202847^2 + 610798^2 .

It is a cyclic number.

It is not a de Polignac number, because 414221102213 - 2³⁰ = 413147360389 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 (414221102219) 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, 14219363 + ... + 14248463.

It is an arithmetic number, because the mean of its divisors is an integer number (27472709979).

Almost surely, 2^414221102213 is an apocalyptic number.

It is an amenable number.

414221102213 is a deficient number, since it is larger than the sum of its proper divisors (25342257451).

414221102213 is a wasteful number, since it uses less digits than its factorization.

414221102213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30952.

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

Adding to 414221102213 its reverse (312201122414), we get a palindrome (726422224627).

The spelling of 414221102213 in words is "four hundred fourteen billion, two hundred twenty-one million, one hundred two thousand, two hundred thirteen".