4404424400 has 30 divisors (see below), whose sum is σ = 10581630582. Its totient is φ = 1761769600.

The previous prime is 4404424357. The next prime is 4404424403. The reversal of 4404424400 is 44244044.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 57395776 + 4347028624 = 7576^2 + 65932^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4404424400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4404424403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5505131 + ... + 5505930.

Almost surely, 2^4404424400 is an apocalyptic number.

4404424400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4404424400 is an abundant number, since it is smaller than the sum of its proper divisors (6177206182).

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

4404424400 is a wasteful number, since it uses less digits than its factorization.

4404424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11011079 (or 11011068 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

The square root of 4404424400 is about 66365.8375973663. The cubic root of 4404424400 is about 1639.1916003940.

Adding to 4404424400 its reverse (44244044), we get a palindrome (4448668444).

It can be divided in two parts, 4 and 404424400, that added together give a palindrome (404424404).

The spelling of 4404424400 in words is "four billion, four hundred four million, four hundred twenty-four thousand, four hundred".