4224314304 has 252 divisors, whose sum is σ = 14239518384. Its totient is φ = 1193730048.

The previous prime is 4224314267. The next prime is 4224314323. The reversal of 4224314304 is 4034134224.

It is a happy number.

4224314304 is a `hidden beast` number, since 4 + 224 + 3 + 1 + 430 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-3 number, since 3×4224314304³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 2736957 + ... + 2738499.

Almost surely, 2^4224314304 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 4224314304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7119759192).

4224314304 is an abundant number, since it is smaller than the sum of its proper divisors (10015204080).

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

4224314304 is a wasteful number, since it uses less digits than its factorization.

4224314304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 4224314304 is about 64994.7252013577. The cubic root of 4224314304 is about 1616.5361012539.

Adding to 4224314304 its reverse (4034134224), we get a palindrome (8258448528).

The spelling of 4224314304 in words is "four billion, two hundred twenty-four million, three hundred fourteen thousand, three hundred four".