413004310401 has 16 divisors (see below), whose sum is σ = 560644245504. Its totient is φ = 270390020304.

The previous prime is 413004310399. The next prime is 413004310409. The reversal of 413004310401 is 104013400314.

It is not a de Polignac number, because 413004310401 - 2¹ = 413004310399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (413004310409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4924441 + ... + 5007606.

It is an arithmetic number, because the mean of its divisors is an integer number (35040265344).

Almost surely, 2^413004310401 is an apocalyptic number.

It is an amenable number.

413004310401 is a deficient number, since it is larger than the sum of its proper divisors (147639935103).

413004310401 is a wasteful number, since it uses less digits than its factorization.

413004310401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9932300.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 413004310401 its reverse (104013400314), we get a palindrome (517017710715).

The spelling of 413004310401 in words is "four hundred thirteen billion, four million, three hundred ten thousand, four hundred one".