4400404000 has 48 divisors (see below), whose sum is σ = 10811802456. Its totient is φ = 1760160000.

The previous prime is 4400403989. The next prime is 4400404003. The reversal of 4400404000 is 4040044.

It can be written as a sum of positive squares in 4 ways, for example, as 1301477776 + 3098926224 = 36076^2 + 55668^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (4400404003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 546051 + ... + 554050.

Almost surely, 2^4400404000 is an apocalyptic number.

4400404000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4400404000 is an abundant number, since it is smaller than the sum of its proper divisors (6411398456).

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

4400404000 is a wasteful number, since it uses less digits than its factorization.

4400404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100126 (or 1100108 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 4400404000 is about 66335.5410017888. The cubic root of 4400404000 is about 1638.6926920593.

Adding to 4400404000 its reverse (4040044), we get a palindrome (4404444044).

It can be divided in two parts, 4 and 400404000, that added together give a palindrome (400404004).

The spelling of 4400404000 in words is "four billion, four hundred million, four hundred four thousand".