413301144321 has 48 divisors (see below), whose sum is σ = 647548067712. Its totient is φ = 252507456000.

The previous prime is 413301144299. The next prime is 413301144337. The reversal of 413301144321 is 123441103314.

413301144321 is a `hidden beast` number, since 4 + 1 + 330 + 1 + 1 + 4 + 4 + 321 = 666.

It is not a de Polignac number, because 413301144321 - 2³³ = 404711209729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (413301144121) 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, 35522521 + ... + 35534153.

It is an arithmetic number, because the mean of its divisors is an integer number (13490584744).

Almost surely, 2^413301144321 is an apocalyptic number.

It is an amenable number.

413301144321 is a deficient number, since it is larger than the sum of its proper divisors (234246923391).

413301144321 is a wasteful number, since it uses less digits than its factorization.

413301144321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13814 (or 13811 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 413301144321 its reverse (123441103314), we get a palindrome (536742247635).

The spelling of 413301144321 in words is "four hundred thirteen billion, three hundred one million, one hundred forty-four thousand, three hundred twenty-one".