4034220126224 has 80 divisors (see below), whose sum is σ = 8097954269184. Its totient is φ = 1944913804800.

The previous prime is 4034220126203. The next prime is 4034220126247. The reversal of 4034220126224 is 4226210224304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165236642 + ... + 165261054.

Almost surely, 2^{4034220126224} 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 4034220126224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4048977134592).

4034220126224 is an abundant number, since it is smaller than the sum of its proper divisors (4063734142960).

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

4034220126224 is a wasteful number, since it uses less digits than its factorization.

4034220126224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25656 (or 25650 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The spelling of 4034220126224 in words is "four trillion, thirty-four billion, two hundred twenty million, one hundred twenty-six thousand, two hundred twenty-four".