404044440400 has 90 divisors (see below), whose sum is σ = 973638332030. Its totient is φ = 161132808960.

The previous prime is 404044440389. The next prime is 404044440403. The reversal of 404044440400 is 4044440404.

It can be written as a sum of positive squares in 3 ways, for example, as 78610701376 + 325433739024 = 280376^2 + 570468^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404044440403) 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 17 ways as a sum of consecutive naturals, for example, 48159406 + ... + 48167794.

Almost surely, 2^404044440400 is an apocalyptic number.

404044440400 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 404044440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486819166015).

404044440400 is an abundant number, since it is smaller than the sum of its proper divisors (569593891630).

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

404044440400 is an equidigital number, since it uses as much as digits as its factorization.

404044440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9101 (or 8743 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 404044440400 its reverse (4044440404), we get a palindrome (408088880804).

The spelling of 404044440400 in words is "four hundred four billion, forty-four million, four hundred forty thousand, four hundred".