4248668424 has 512 divisors, whose sum is σ = 15397724160. Its totient is φ = 940032000.

The previous prime is 4248668393. The next prime is 4248668443.

4248668424 is nontrivially palindromic in base 10.

4248668424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41249157 + ... + 41249259.

It is an arithmetic number, because the mean of its divisors is an integer number (30073680).

Almost surely, 2^4248668424 is an apocalyptic number.

4248668424 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 4248668424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7698862080).

4248668424 is an abundant number, since it is smaller than the sum of its proper divisors (11149055736).

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

4248668424 is a wasteful number, since it uses less digits than its factorization.

4248668424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 257 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 48.

The square root of 4248668424 is about 65181.8105302392. The cubic root of 4248668424 is about 1619.6367147594.

The spelling of 4248668424 in words is "four billion, two hundred forty-eight million, six hundred sixty-eight thousand, four hundred twenty-four".