4242248080128 has 360 divisors, whose sum is σ = 12957502219200. Its totient is φ = 1379734788096.

The previous prime is 4242248080111. The next prime is 4242248080151. The reversal of 4242248080128 is 8210808422424.

4242248080128 is a `hidden beast` number, since 4 + 2 + 42 + 2 + 480 + 8 + 0 + 128 = 666.

4242248080128 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 39 ways as a sum of consecutive naturals, for example, 1122582943 + ... + 1122586721.

It is an arithmetic number, because the mean of its divisors is an integer number (35993061720).

Almost surely, 2^{4242248080128} is an apocalyptic number.

4242248080128 is a gapful number since it is divisible by the number (48) 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 4242248080128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6478751109600).

4242248080128 is an abundant number, since it is smaller than the sum of its proper divisors (8715254139072).

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

4242248080128 is a wasteful number, since it uses less digits than its factorization.

4242248080128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5109 (or 5086 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 45.

The spelling of 4242248080128 in words is "four trillion, two hundred forty-two billion, two hundred forty-eight million, eighty thousand, one hundred twenty-eight".