4820082868224 has 840 divisors, whose sum is σ = 16004708237280. Its totient is φ = 1441298644992.

The previous prime is 4820082868207. The next prime is 4820082868277. The reversal of 4820082868224 is 4228682800284.

4820082868224 is a `hidden beast` number, since 482 + 0 + 0 + 8 + 2 + 86 + 82 + 2 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5745032797 + ... + 5745033635.

It is an arithmetic number, because the mean of its divisors is an integer number (19053224092).

Almost surely, 2^{4820082868224} 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 4820082868224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8002354118640).

4820082868224 is an abundant number, since it is smaller than the sum of its proper divisors (11184625369056).

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

4820082868224 is an frugal number, since it uses more digits than its factorization.

4820082868224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 6291456, while the sum is 54.

The spelling of 4820082868224 in words is "four trillion, eight hundred twenty billion, eighty-two million, eight hundred sixty-eight thousand, two hundred twenty-four".