404304313101 has 64 divisors (see below), whose sum is σ = 625320331776. Its totient is φ = 230151168000.

The previous prime is 404304313037. The next prime is 404304313129. The reversal of 404304313101 is 101313403404.

It is not a de Polignac number, because 404304313101 - 2⁶ = 404304313037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404304317101) 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 63 ways as a sum of consecutive naturals, for example, 9151896 + ... + 9195966.

It is an arithmetic number, because the mean of its divisors is an integer number (9770630184).

Almost surely, 2^404304313101 is an apocalyptic number.

It is an amenable number.

404304313101 is a deficient number, since it is larger than the sum of its proper divisors (221016018675).

404304313101 is a wasteful number, since it uses less digits than its factorization.

404304313101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44342.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 404304313101 its reverse (101313403404), we get a palindrome (505617716505).

The spelling of 404304313101 in words is "four hundred four billion, three hundred four million, three hundred thirteen thousand, one hundred one".