4220041432200 has 384 divisors, whose sum is σ = 15155533555200. Its totient is φ = 960615936000.

The previous prime is 4220041432199. The next prime is 4220041432207. The reversal of 4220041432200 is 22341400224.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4220041432207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14021295 + ... + 14319105.

It is an arithmetic number, because the mean of its divisors is an integer number (39467535300).

Almost surely, 2^{4220041432200} is an apocalyptic number.

4220041432200 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 4220041432200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7577766777600).

4220041432200 is an abundant number, since it is smaller than the sum of its proper divisors (10935492123000).

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

4220041432200 is a wasteful number, since it uses less digits than its factorization.

4220041432200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297973 (or 297964 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 4220041432200 its reverse (22341400224), we get a palindrome (4242382832424).

The spelling of 4220041432200 in words is "four trillion, two hundred twenty billion, forty-one million, four hundred thirty-two thousand, two hundred".