404004431440 has 80 divisors (see below), whose sum is σ = 952734445200. Its totient is φ = 159294836736.

The previous prime is 404004431437. The next prime is 404004431471. The reversal of 404004431440 is 44134400404.

It can be written as a sum of positive squares in 8 ways, for example, as 530473024 + 403473958416 = 23032^2 + 635196^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 404004431399 and 404004431408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10428426 + ... + 10467094.

It is an arithmetic number, because the mean of its divisors is an integer number (11909180565).

Almost surely, 2^404004431440 is an apocalyptic number.

404004431440 is a gapful number since it is divisible by the number (40) 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 404004431440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476367222600).

404004431440 is an abundant number, since it is smaller than the sum of its proper divisors (548730013760).

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

404004431440 is a wasteful number, since it uses less digits than its factorization.

404004431440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40544 (or 40538 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 404004431440 its reverse (44134400404), we get a palindrome (448138831844).

The spelling of 404004431440 in words is "four hundred four billion, four million, four hundred thirty-one thousand, four hundred forty".