200413242314012 has 384 divisors, whose sum is σ = 499842361589760. Its totient is φ = 68048773816320.

The previous prime is 200413242314011. The next prime is 200413242314027. The reversal of 200413242314012 is 210413242314002.

It is a super-2 number, since 2×200413242314012² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200413242314011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 231329708 + ... + 232194444.

It is an arithmetic number, because the mean of its divisors is an integer number (1301672816640).

Almost surely, 2^{200413242314012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200413242314012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249921180794880).

200413242314012 is an abundant number, since it is smaller than the sum of its proper divisors (299429119275748).

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

200413242314012 is a wasteful number, since it uses less digits than its factorization.

200413242314012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864881 (or 864879 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 200413242314012 its reverse (210413242314002), we get a palindrome (410826484628014).

The spelling of 200413242314012 in words is "two hundred trillion, four hundred thirteen billion, two hundred forty-two million, three hundred fourteen thousand, twelve".