200214220241420 has 192 divisors, whose sum is σ = 538653368300544. Its totient is φ = 60685272161280.

The previous prime is 200214220241393. The next prime is 200214220241509. The reversal of 200214220241420 is 24142022412002.

It is a super-3 number, since 3×200214220241420³ (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 200214220241420.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105440642 + ... + 107322678.

It is an arithmetic number, because the mean of its divisors is an integer number (2805486293232).

Almost surely, 2^{200214220241420} is an apocalyptic number.

200214220241420 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 200214220241420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269326684150272).

200214220241420 is an abundant number, since it is smaller than the sum of its proper divisors (338439148059124).

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

200214220241420 is a wasteful number, since it uses less digits than its factorization.

200214220241420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883968 (or 1883966 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 200214220241420 its reverse (24142022412002), we get a palindrome (224356242653422).

The spelling of 200214220241420 in words is "two hundred trillion, two hundred fourteen billion, two hundred twenty million, two hundred forty-one thousand, four hundred twenty".