200022221210040 has 768 divisors, whose sum is σ = 720623195136000. Its totient is φ = 47951934750720.

The previous prime is 200022221209999. The next prime is 200022221210041. The reversal of 200022221210040 is 40012122220002.

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

It is a junction number, because it is equal to n+sod(n) for n = 200022221209995 and 200022221210022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200022221210041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1346758824 + ... + 1346907336.

It is an arithmetic number, because the mean of its divisors is an integer number (938311452000).

Almost surely, 2^{200022221210040} is an apocalyptic number.

200022221210040 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 200022221210040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360311597568000).

200022221210040 is an abundant number, since it is smaller than the sum of its proper divisors (520600973925960).

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

200022221210040 is a wasteful number, since it uses less digits than its factorization.

200022221210040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148732 (or 148725 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 200022221210040 its reverse (40012122220002), we get a palindrome (240034343430042).

The spelling of 200022221210040 in words is "two hundred trillion, twenty-two billion, two hundred twenty-one million, two hundred ten thousand, forty".