4144305330 has 128 divisors (see below), whose sum is σ = 12076646400. Its totient is φ = 1002974400.

The previous prime is 4144305311. The next prime is 4144305337. The reversal of 4144305330 is 335034414.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4144305294 and 4144305303.

It is not an unprimeable number, because it can be changed into a prime (4144305337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3239631 + ... + 3240909.

It is an arithmetic number, because the mean of its divisors is an integer number (94348800).

Almost surely, 2^4144305330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4144305330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6038323200).

4144305330 is an abundant number, since it is smaller than the sum of its proper divisors (7932341070).

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

4144305330 is a wasteful number, since it uses less digits than its factorization.

4144305330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 4144305330 is about 64376.2792494254. The cubic root of 4144305330 is about 1606.2651915978.

Adding to 4144305330 its reverse (335034414), we get a palindrome (4479339744).

The spelling of 4144305330 in words is "four billion, one hundred forty-four million, three hundred five thousand, three hundred thirty".