20414210241321 has 48 divisors (see below), whose sum is σ = 31941793442832. Its totient is φ = 12488915404800.

The previous prime is 20414210241311. The next prime is 20414210241323. The reversal of 20414210241321 is 12314201241402.

20414210241321 is a `hidden beast` number, since 2 + 0 + 4 + 14 + 210 + 2 + 413 + 21 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1208535696 + 20413001705625 = 34764^2 + 4518075^2 .

It is not a de Polignac number, because 20414210241321 - 2⁷ = 20414210241193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20414210241323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62372461 + ... + 62698901.

It is an arithmetic number, because the mean of its divisors is an integer number (665454030059).

Almost surely, 2^{20414210241321} is an apocalyptic number.

It is an amenable number.

20414210241321 is a deficient number, since it is larger than the sum of its proper divisors (11527583201511).

20414210241321 is a wasteful number, since it uses less digits than its factorization.

20414210241321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329594 (or 329591 counting only the distinct ones).

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

Adding to 20414210241321 its reverse (12314201241402), we get a palindrome (32728411482723).

The spelling of 20414210241321 in words is "twenty trillion, four hundred fourteen billion, two hundred ten million, two hundred forty-one thousand, three hundred twenty-one".