4200220422200 has 96 divisors (see below), whose sum is σ = 10661444588160. Its totient is φ = 1526183241600.

The previous prime is 4200220422199. The next prime is 4200220422239. The reversal of 4200220422200 is 22240220024.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2145029 + ... + 3605771.

It is an arithmetic number, because the mean of its divisors is an integer number (111056714460).

Almost surely, 2^{4200220422200} is an apocalyptic number.

4200220422200 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 4200220422200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5330722294080).

4200220422200 is an abundant number, since it is smaller than the sum of its proper divisors (6461224165960).

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

4200220422200 is a wasteful number, since it uses less digits than its factorization.

4200220422200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462077 (or 1462068 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 4200220422200 its reverse (22240220024), we get a palindrome (4222460642224).

The spelling of 4200220422200 in words is "four trillion, two hundred billion, two hundred twenty million, four hundred twenty-two thousand, two hundred".