404440000440 has 384 divisors, whose sum is σ = 1428851430720. Its totient is φ = 91305984000.

The previous prime is 404440000429. The next prime is 404440000441. The reversal of 404440000440 is 44000044404.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 404440000440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404440000441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 459068800 + ... + 459069680.

Almost surely, 2^404440000440 is an apocalyptic number.

404440000440 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 404440000440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714425715360).

404440000440 is an abundant number, since it is smaller than the sum of its proper divisors (1024411430280).

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

404440000440 is a wasteful number, since it uses less digits than its factorization.

404440000440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 404440000440 its reverse (44000044404), we get a palindrome (448440044844).

The spelling of 404440000440 in words is "four hundred four billion, four hundred forty million, four hundred forty", and thus it is an aban number.