4224414312 has 24 divisors (see below), whose sum is σ = 11441122290. Its totient is φ = 1408138080.

The previous prime is 4224414289. The next prime is 4224414319. The reversal of 4224414312 is 2134144224.

4224414312 is a `hidden beast` number, since 4 + 224 + 4 + 1 + 431 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3449682756 + 774731556 = 58734^2 + 27834^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4224414319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29336139 + ... + 29336282.

Almost surely, 2^4224414312 is an apocalyptic number.

It is an amenable number.

4224414312 is an abundant number, since it is smaller than the sum of its proper divisors (7216707978).

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

4224414312 is a wasteful number, since it uses less digits than its factorization.

4224414312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58672433 (or 58672426 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 4224414312 is about 64995.4945515456. The cubic root of 4224414312 is about 1616.5488579804.

Adding to 4224414312 its reverse (2134144224), we get a palindrome (6358558536).

The spelling of 4224414312 in words is "four billion, two hundred twenty-four million, four hundred fourteen thousand, three hundred twelve".