4221984748200 has 192 divisors, whose sum is σ = 13183910550720. Its totient is φ = 1117638912000.

The previous prime is 4221984748193. The next prime is 4221984748207. The reversal of 4221984748200 is 28474891224.

It is a happy number.

4221984748200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4221984748193) and next prime (4221984748207).

It is not an unprimeable number, because it can be changed into a prime (4221984748207) 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, 102751660 + ... + 102792740.

It is an arithmetic number, because the mean of its divisors is an integer number (68666200785).

Almost surely, 2^{4221984748200} is an apocalyptic number.

4221984748200 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 4221984748200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6591955275360).

4221984748200 is an abundant number, since it is smaller than the sum of its proper divisors (8961925802520).

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

4221984748200 is a wasteful number, since it uses less digits than its factorization.

4221984748200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42348 (or 42339 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The spelling of 4221984748200 in words is "four trillion, two hundred twenty-one billion, nine hundred eighty-four million, seven hundred forty-eight thousand, two hundred".