4400704000 has 640 divisors, whose sum is σ = 14707630080. Its totient is φ = 1271808000.

The previous prime is 4400703991. The next prime is 4400704013. The reversal of 4400704000 is 4070044.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 93631977 + ... + 93632023.

It is an arithmetic number, because the mean of its divisors is an integer number (22980672).

Almost surely, 2^4400704000 is an apocalyptic number.

4400704000 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 4400704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7353815040).

4400704000 is an abundant number, since it is smaller than the sum of its proper divisors (10306926080).

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

4400704000 is a wasteful number, since it uses less digits than its factorization.

4400704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 19.

The square root of 4400704000 is about 66337.8021945256. The cubic root of 4400704000 is about 1638.7299308095.

Adding to 4400704000 its reverse (4070044), we get a palindrome (4404774044).

The spelling of 4400704000 in words is "four billion, four hundred million, seven hundred four thousand".