4226140416224 has 96 divisors (see below), whose sum is σ = 9194601185280. Its totient is φ = 1901903173632.

The previous prime is 4226140416209. The next prime is 4226140416227.

4226140416224 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4226140416227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64015937 + ... + 64081919.

It is an arithmetic number, because the mean of its divisors is an integer number (95777095680).

Almost surely, 2^{4226140416224} 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 4226140416224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4597300592640).

4226140416224 is an abundant number, since it is smaller than the sum of its proper divisors (4968460769056).

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

4226140416224 is a wasteful number, since it uses less digits than its factorization.

4226140416224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71152 (or 71144 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 38.

The spelling of 4226140416224 in words is "four trillion, two hundred twenty-six billion, one hundred forty million, four hundred sixteen thousand, two hundred twenty-four".