4820418216 has 192 divisors, whose sum is σ = 13984850880. Its totient is φ = 1554577920.

The previous prime is 4820418181. The next prime is 4820418259. The reversal of 4820418216 is 6128140284.

4820418216 is a `hidden beast` number, since 4 + 8 + 20 + 418 + 216 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15701535 + ... + 15701841.

It is an arithmetic number, because the mean of its divisors is an integer number (72837765).

Almost surely, 2^4820418216 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 4820418216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6992425440).

4820418216 is an abundant number, since it is smaller than the sum of its proper divisors (9164432664).

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

4820418216 is a wasteful number, since it uses less digits than its factorization.

4820418216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 4820418216 is about 69429.2317111460. The cubic root of 4820418216 is about 1689.2538068716.

The spelling of 4820418216 in words is "four billion, eight hundred twenty million, four hundred eighteen thousand, two hundred sixteen".