200202222002040 has 768 divisors, whose sum is σ = 694035787536000. Its totient is φ = 49976745984000.

The previous prime is 200202222002039. The next prime is 200202222002059. The reversal of 200202222002040 is 40200222202002.

It is a happy number.

200202222002040 is a `hidden beast` number, since 20 + 0 + 20 + 222 + 200 + 204 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27242100286 + ... + 27242107634.

Almost surely, 2^{200202222002040} is an apocalyptic number.

200202222002040 is a gapful number since it is divisible by the number (20) 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 200202222002040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347017893768000).

200202222002040 is an abundant number, since it is smaller than the sum of its proper divisors (493833565533960).

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

200202222002040 is a wasteful number, since it uses less digits than its factorization.

200202222002040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8128 (or 8121 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 200202222002040 its reverse (40200222202002), we get a palindrome (240402444204042).

The spelling of 200202222002040 in words is "two hundred trillion, two hundred two billion, two hundred twenty-two million, two thousand, forty".