4226126216224 has 144 divisors (see below), whose sum is σ = 9347223614400. Its totient is φ = 1879017536000.

The previous prime is 4226126216201. The next prime is 4226126216233.

4226126216224 is nontrivially palindromic in base 10.

4226126216224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32393877 + ... + 32524075.

It is an arithmetic number, because the mean of its divisors is an integer number (64911275100).

Almost surely, 2^{4226126216224} is an apocalyptic number.

4226126216224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4226126216224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4673611807200).

4226126216224 is an abundant number, since it is smaller than the sum of its proper divisors (5121097398176).

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

4226126216224 is a wasteful number, since it uses less digits than its factorization.

4226126216224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130415 (or 130396 counting only the distinct ones).

The product of its digits is 221184, while the sum is 40.

The spelling of 4226126216224 in words is "four trillion, two hundred twenty-six billion, one hundred twenty-six million, two hundred sixteen thousand, two hundred twenty-four".