404404324210040 has 128 divisors (see below), whose sum is σ = 1135168135326720. Its totient is φ = 125966409292800.

The previous prime is 404404324209983. The next prime is 404404324210043. The reversal of 404404324210040 is 40012423404404.

It is a junction number, because it is equal to n+sod(n) for n = 404404324209979 and 404404324210006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404404324210043) 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, 37794581 + ... + 47299460.

It is an arithmetic number, because the mean of its divisors is an integer number (8868501057240).

Almost surely, 2^{404404324210040} is an apocalyptic number.

404404324210040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404404324210040 is an abundant number, since it is smaller than the sum of its proper divisors (730763811116680).

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

404404324210040 is a wasteful number, since it uses less digits than its factorization.

404404324210040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85095613 (or 85095609 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 404404324210040 its reverse (40012423404404), we get a palindrome (444416747614444).

The spelling of 404404324210040 in words is "four hundred four trillion, four hundred four billion, three hundred twenty-four million, two hundred ten thousand, forty".