4022114033200 has 120 divisors (see below), whose sum is σ = 9753016481280. Its totient is φ = 1593946425600.

The previous prime is 4022114033173. The next prime is 4022114033207. The reversal of 4022114033200 is 23304112204.

4022114033200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4022114033207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19299957 + ... + 19507243.

It is an arithmetic number, because the mean of its divisors is an integer number (81275137344).

Almost surely, 2^{4022114033200} is an apocalyptic number.

4022114033200 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 4022114033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4876508240640).

4022114033200 is an abundant number, since it is smaller than the sum of its proper divisors (5730902448080).

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

4022114033200 is a wasteful number, since it uses less digits than its factorization.

4022114033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207755 (or 207744 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 4022114033200 its reverse (23304112204), we get a palindrome (4045418145404).

The spelling of 4022114033200 in words is "four trillion, twenty-two billion, one hundred fourteen million, thirty-three thousand, two hundred".