4227152517224 has 128 divisors (see below), whose sum is σ = 9807533568000. Its totient is φ = 1663285688064.

The previous prime is 4227152517209. The next prime is 4227152517241.

4227152517224 is nontrivially palindromic in base 10.

4227152517224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149444987 + ... + 149473269.

It is an arithmetic number, because the mean of its divisors is an integer number (76621356000).

Almost surely, 2^{4227152517224} 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 4227152517224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4903766784000).

4227152517224 is an abundant number, since it is smaller than the sum of its proper divisors (5580381050776).

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

4227152517224 is a wasteful number, since it uses less digits than its factorization.

4227152517224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29407 (or 29403 counting only the distinct ones).

The product of its digits is 627200, while the sum is 44.

The spelling of 4227152517224 in words is "four trillion, two hundred twenty-seven billion, one hundred fifty-two million, five hundred seventeen thousand, two hundred twenty-four".