200013143213440 has 128 divisors (see below), whose sum is σ = 481778877578400. Its totient is φ = 79401379479552.

The previous prime is 200013143213417. The next prime is 200013143213447. The reversal of 200013143213440 is 44312341310002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 200013143213399 and 200013143213408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200013143213447) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 43693219 + ... + 48053341.

Almost surely, 2^{200013143213440} is an apocalyptic number.

200013143213440 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 200013143213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240889438789200).

200013143213440 is an abundant number, since it is smaller than the sum of its proper divisors (281765734364960).

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

200013143213440 is a wasteful number, since it uses less digits than its factorization.

200013143213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4360684 (or 4360672 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 200013143213440 its reverse (44312341310002), we get a palindrome (244325484523442).

The spelling of 200013143213440 in words is "two hundred trillion, thirteen billion, one hundred forty-three million, two hundred thirteen thousand, four hundred forty".