404423121324404 has 96 divisors (see below), whose sum is σ = 876944728348416. Its totient is φ = 158912847959040.

The previous prime is 404423121324401. The next prime is 404423121324427.

404423121324404 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×404423121324404² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404423121324401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95044544 + ... + 99208424.

It is an arithmetic number, because the mean of its divisors is an integer number (9134840920296).

Almost surely, 2^{404423121324404} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404423121324404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438472364174208).

404423121324404 is an abundant number, since it is smaller than the sum of its proper divisors (472521607024012).

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

404423121324404 is a wasteful number, since it uses less digits than its factorization.

404423121324404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4165705 (or 4165703 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 38.

The spelling of 404423121324404 in words is "four hundred four trillion, four hundred twenty-three billion, one hundred twenty-one million, three hundred twenty-four thousand, four hundred four".