4304144000 has 128 divisors (see below), whose sum is σ = 11524902480. Its totient is φ = 1589145600.

The previous prime is 4304143979. The next prime is 4304144017. The reversal of 4304144000 is 4414034.

It can be written as a sum of positive squares in 8 ways, for example, as 198922816 + 4105221184 = 14104^2 + 64072^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197654 + ... + 218346.

Almost surely, 2^4304144000 is an apocalyptic number.

4304144000 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 4304144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5762451240).

4304144000 is an abundant number, since it is smaller than the sum of its proper divisors (7220758480).

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

4304144000 is a wasteful number, since it uses less digits than its factorization.

4304144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20735 (or 20713 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4304144000 is about 65605.9753376169. The cubic root of 4304144000 is about 1626.6555435353.

Adding to 4304144000 its reverse (4414034), we get a palindrome (4308558034).

The spelling of 4304144000 in words is "four billion, three hundred four million, one hundred forty-four thousand".