404424440024 has 96 divisors (see below), whose sum is σ = 847627556160. Its totient is φ = 180724167360.

The previous prime is 404424440023. The next prime is 404424440029. The reversal of 404424440024 is 420044424404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404424440023) 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 23 ways as a sum of consecutive naturals, for example, 33913727 + ... + 33925649.

It is an arithmetic number, because the mean of its divisors is an integer number (8829453710).

Almost surely, 2^404424440024 is an apocalyptic number.

404424440024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404424440024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423813778080).

404424440024 is an abundant number, since it is smaller than the sum of its proper divisors (443203116136).

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

404424440024 is a wasteful number, since it uses less digits than its factorization.

404424440024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12541 (or 12526 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 404424440024 its reverse (420044424404), we get a palindrome (824468864428).

It can be divided in two parts, 404424 and 440024, that added together give a palindrome (844448).

The spelling of 404424440024 in words is "four hundred four billion, four hundred twenty-four million, four hundred forty thousand, twenty-four".