4144084224 has 288 divisors, whose sum is σ = 13735680000. Its totient is φ = 1082253312.

The previous prime is 4144084211. The next prime is 4144084267. The reversal of 4144084224 is 4224804414.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2961477 + ... + 2962875.

Almost surely, 2^4144084224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4144084224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6867840000).

4144084224 is an abundant number, since it is smaller than the sum of its proper divisors (9591595776).

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

4144084224 is a wasteful number, since it uses less digits than its factorization.

4144084224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 33.

The square root of 4144084224 is about 64374.5619324901. The cubic root of 4144084224 is about 1606.2366253960.

Adding to 4144084224 its reverse (4224804414), we get a palindrome (8368888638).

The spelling of 4144084224 in words is "four billion, one hundred forty-four million, eighty-four thousand, two hundred twenty-four".