404311413301 has 16 divisors (see below), whose sum is σ = 418968861696. Its totient is φ = 389898973296.

The previous prime is 404311413299. The next prime is 404311413307. The reversal of 404311413301 is 103314113404.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 404311413301 - 2¹ = 404311413299 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 (404311413307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5613946 + ... + 5685508.

It is an arithmetic number, because the mean of its divisors is an integer number (26185553856).

Almost surely, 2^404311413301 is an apocalyptic number.

It is an amenable number.

404311413301 is a deficient number, since it is larger than the sum of its proper divisors (14657448395).

404311413301 is a wasteful number, since it uses less digits than its factorization.

404311413301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73272.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 404311413301 its reverse (103314113404), we get a palindrome (507625526705).

The spelling of 404311413301 in words is "four hundred four billion, three hundred eleven million, four hundred thirteen thousand, three hundred one".