4224756574224 has 320 divisors, whose sum is σ = 12381724185600. Its totient is φ = 1378911485952.

The previous prime is 4224756574223. The next prime is 4224756574231.

4224756574224 is a `hidden beast` number, since 4 + 2 + 2 + 4 + 7 + 565 + 74 + 2 + 2 + 4 = 666.

4224756574224 is nontrivially palindromic in base 10.

4224756574224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4224756574224² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4224756574223) 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, 5493831312 + ... + 5493832080.

It is an arithmetic number, because the mean of its divisors is an integer number (38692888080).

Almost surely, 2^{4224756574224} 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 4224756574224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6190862092800).

4224756574224 is an abundant number, since it is smaller than the sum of its proper divisors (8156967611376).

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

4224756574224 is a wasteful number, since it uses less digits than its factorization.

4224756574224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747 (or 1735 counting only the distinct ones).

The product of its digits is 30105600, while the sum is 54.

The spelling of 4224756574224 in words is "four trillion, two hundred twenty-four billion, seven hundred fifty-six million, five hundred seventy-four thousand, two hundred twenty-four".