4842018754560 has 624 divisors, whose sum is σ = 18304172140800. Its totient is φ = 1176748425216.

The previous prime is 4842018754541. The next prime is 4842018754571. The reversal of 4842018754560 is 654578102484.

4842018754560 is a `hidden beast` number, since 4 + 8 + 4 + 2 + 0 + 1 + 8 + 75 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a junction number, because it is equal to n+sod(n) for n = 4842018754497 and 4842018754506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189283851 + ... + 189309429.

It is an arithmetic number, because the mean of its divisors is an integer number (29333609200).

Almost surely, 2^{4842018754560} is an apocalyptic number.

4842018754560 is a gapful number since it is divisible by the number (40) 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 4842018754560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9152086070400).

4842018754560 is an abundant number, since it is smaller than the sum of its proper divisors (13462153386240).

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

4842018754560 is a wasteful number, since it uses less digits than its factorization.

4842018754560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25706 (or 25681 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 4842018754560 in words is "four trillion, eight hundred forty-two billion, eighteen million, seven hundred fifty-four thousand, five hundred sixty".