4820790102200 has 192 divisors, whose sum is σ = 11456101762560. Its totient is φ = 1886295237120.

The previous prime is 4820790102187. The next prime is 4820790102209. The reversal of 4820790102200 is 22010970284.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4820790102209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 560748302 + ... + 560756898.

It is an arithmetic number, because the mean of its divisors is an integer number (59667196680).

Almost surely, 2^{4820790102200} is an apocalyptic number.

4820790102200 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 4820790102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5728050881280).

4820790102200 is an abundant number, since it is smaller than the sum of its proper divisors (6635311660360).

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

4820790102200 is a wasteful number, since it uses less digits than its factorization.

4820790102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9046 (or 9037 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The spelling of 4820790102200 in words is "four trillion, eight hundred twenty billion, seven hundred ninety million, one hundred two thousand, two hundred".