4000222342200 has 576 divisors, whose sum is σ = 15089290295040. Its totient is φ = 858587627520.

The previous prime is 4000222342157. The next prime is 4000222342211. The reversal of 4000222342200 is 22432220004.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 566841072 + ... + 566848128.

It is an arithmetic number, because the mean of its divisors is an integer number (26196684540).

Almost surely, 2^{4000222342200} is an apocalyptic number.

4000222342200 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 4000222342200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7544645147520).

4000222342200 is an abundant number, since it is smaller than the sum of its proper divisors (11089067952840).

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

4000222342200 is a wasteful number, since it uses less digits than its factorization.

4000222342200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7584 (or 7558 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 4000222342200 its reverse (22432220004), we get a palindrome (4022654562204).

The spelling of 4000222342200 in words is "four trillion, two hundred twenty-two million, three hundred forty-two thousand, two hundred".