4000218200 has 192 divisors, whose sum is σ = 10818057600. Its totient is φ = 1360281600.

The previous prime is 4000218169. The next prime is 4000218253. The reversal of 4000218200 is 28120004.

It is a super-2 number, since 2×4000218200² = 32003491295222480000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3468824 + ... + 3469976.

It is an arithmetic number, because the mean of its divisors is an integer number (56344050).

Almost surely, 2^4000218200 is an apocalyptic number.

4000218200 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 4000218200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5409028800).

4000218200 is an abundant number, since it is smaller than the sum of its proper divisors (6817839400).

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

4000218200 is a wasteful number, since it uses less digits than its factorization.

4000218200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 4000218200 is about 63247.2782023069. The cubic root of 4000218200 is about 1587.4299156858.

Adding to 4000218200 its reverse (28120004), we get a palindrome (4028338204).

The spelling of 4000218200 in words is "four billion, two hundred eighteen thousand, two hundred".