4224414144224 has 24 divisors (see below), whose sum is σ = 8316865657800. Its totient is φ = 2112194294656.

The previous prime is 4224414144199. The next prime is 4224414144227.

It is a happy number.

4224414144224 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4224414144227) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7195727 + ... + 7760625.

It is an arithmetic number, because the mean of its divisors is an integer number (346536069075).

Almost surely, 2^{4224414144224} is an apocalyptic number.

It is an amenable number.

4224414144224 is a deficient number, since it is larger than the sum of its proper divisors (4092451513576).

4224414144224 is a wasteful number, since it uses less digits than its factorization.

4224414144224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798602 (or 798594 counting only the distinct ones).

The product of its digits is 262144, while the sum is 38.

The spelling of 4224414144224 in words is "four trillion, two hundred twenty-four billion, four hundred fourteen million, one hundred forty-four thousand, two hundred twenty-four".