4242568652424 has 128 divisors (see below), whose sum is σ = 12168077644800. Its totient is φ = 1368232335360.

The previous prime is 4242568652369. The next prime is 4242568652471.

4242568652424 is a `hidden beast` number, since 4 + 2 + 4 + 2 + 568 + 6 + 52 + 4 + 24 = 666.

4242568652424 is nontrivially palindromic in base 10.

4242568652424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 27759064 + ... + 27911480.

It is an arithmetic number, because the mean of its divisors is an integer number (95063106600).

Almost surely, 2^{4242568652424} 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 4242568652424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6084038822400).

4242568652424 is an abundant number, since it is smaller than the sum of its proper divisors (7925508992376).

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

4242568652424 is a wasteful number, since it uses less digits than its factorization.

4242568652424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156620 (or 156610 counting only the distinct ones).

The product of its digits is 29491200, while the sum is 54.

The spelling of 4242568652424 in words is "four trillion, two hundred forty-two billion, five hundred sixty-eight million, six hundred fifty-two thousand, four hundred twenty-four".