404314413404 has 24 divisors (see below), whose sum is σ = 779515286256. Its totient is φ = 181959680000.

The previous prime is 404314413401. The next prime is 404314413407.

404314413404 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (404314413401) and next prime (404314413407).

It is a super-2 number, since 2×404314413404² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404314413401) 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 7 ways as a sum of consecutive naturals, for example, 45485477 + ... + 45494364.

It is an arithmetic number, because the mean of its divisors is an integer number (32479803594).

Almost surely, 2^404314413404 is an apocalyptic number.

404314413404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

404314413404 is a deficient number, since it is larger than the sum of its proper divisors (375200872852).

404314413404 is a wasteful number, since it uses less digits than its factorization.

404314413404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90979957 (or 90979955 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

It can be divided in two parts, 404314 and 413404, that added together give a palindrome (817718).

The spelling of 404314413404 in words is "four hundred four billion, three hundred fourteen million, four hundred thirteen thousand, four hundred four".