4248028208424 has 384 divisors, whose sum is σ = 14426970243840. Its totient is φ = 1014266880000.

The previous prime is 4248028208419. The next prime is 4248028208429.

4248028208424 is nontrivially palindromic in base 10.

4248028208424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4248028208419) and next prime (4248028208429).

It is not an unprimeable number, because it can be changed into a prime (4248028208429) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63654274 + ... + 63720974.

It is an arithmetic number, because the mean of its divisors is an integer number (37570235010).

Almost surely, 2^{4248028208424} is an apocalyptic number.

4248028208424 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 4248028208424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7213485121920).

4248028208424 is an abundant number, since it is smaller than the sum of its proper divisors (10178942035416).

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

4248028208424 is a wasteful number, since it uses less digits than its factorization.

4248028208424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66993 (or 66978 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 48.

The spelling of 4248028208424 in words is "four trillion, two hundred forty-eight billion, twenty-eight million, two hundred eight thousand, four hundred twenty-four".