404334342422024 has 128 divisors (see below), whose sum is σ = 893910056094720. Its totient is φ = 167876681068800.

The previous prime is 404334342421991. The next prime is 404334342422063. The reversal of 404334342422024 is 420224243433404.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1595339999 + ... + 1595593425.

It is an arithmetic number, because the mean of its divisors is an integer number (6983672313240).

Almost surely, 2^{404334342422024} 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 404334342422024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446955028047360).

404334342422024 is an abundant number, since it is smaller than the sum of its proper divisors (489575713672696).

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

404334342422024 is a wasteful number, since it uses less digits than its factorization.

404334342422024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260539 (or 260535 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 41.

Adding to 404334342422024 its reverse (420224243433404), we get a palindrome (824558585855428).

The spelling of 404334342422024 in words is "four hundred four trillion, three hundred thirty-four billion, three hundred forty-two million, four hundred twenty-two thousand, twenty-four".