200214324241440 has 192 divisors, whose sum is σ = 635301616884480. Its totient is φ = 52998853754880.

The previous prime is 200214324241429. The next prime is 200214324241453. The reversal of 200214324241440 is 44142423412002.

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 31 ways as a sum of consecutive naturals, for example, 3598425141 + ... + 3598480779.

It is an arithmetic number, because the mean of its divisors is an integer number (3308862587940).

Almost surely, 2^{200214324241440} is an apocalyptic number.

200214324241440 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 200214324241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317650808442240).

200214324241440 is an abundant number, since it is smaller than the sum of its proper divisors (435087292643040).

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

200214324241440 is a wasteful number, since it uses less digits than its factorization.

200214324241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110515 (or 110507 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 200214324241440 its reverse (44142423412002), we get a palindrome (244356747653442).

The spelling of 200214324241440 in words is "two hundred trillion, two hundred fourteen billion, three hundred twenty-four million, two hundred forty-one thousand, four hundred forty".