404042323240404 has 36 divisors (see below), whose sum is σ = 1021337514520960. Its totient is φ = 134679678780240.

The previous prime is 404042323240403. The next prime is 404042323240421.

404042323240404 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 4 + 2 + 3 + 2 + 3 + 240 + 404 = 666.

404042323240404 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×404042323240404² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404042323240403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41158564 + ... + 50021115.

Almost surely, 2^{404042323240404} is an apocalyptic number.

It is an amenable number.

404042323240404 is an abundant number, since it is smaller than the sum of its proper divisors (617295191280556).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

404042323240404 is a wasteful number, since it uses less digits than its factorization.

404042323240404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91302780 (or 91302775 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

The spelling of 404042323240404 in words is "four hundred four trillion, forty-two billion, three hundred twenty-three million, two hundred forty thousand, four hundred four".