4920220200 has 192 divisors, whose sum is σ = 17541020160. Its totient is φ = 1117566720.

The previous prime is 4920220199. The next prime is 4920220219. The reversal of 4920220200 is 20220294.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 681007 + ... + 688193.

It is an arithmetic number, because the mean of its divisors is an integer number (91359480).

Almost surely, 2^4920220200 is an apocalyptic number.

4920220200 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 4920220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8770510080).

4920220200 is an abundant number, since it is smaller than the sum of its proper divisors (12620799960).

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

4920220200 is a wasteful number, since it uses less digits than its factorization.

4920220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7376 (or 7367 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 4920220200 is about 70144.2813064615. The cubic root of 4920220200 is about 1700.8323720787.

Adding to 4920220200 its reverse (20220294), we get a palindrome (4940440494).

The spelling of 4920220200 in words is "four billion, nine hundred twenty million, two hundred twenty thousand, two hundred".