206042340000 has 240 divisors, whose sum is σ = 772413098688. Its totient is φ = 47095296000.

The previous prime is 206042339983. The next prime is 206042340043. The reversal of 206042340000 is 43240602.

206042340000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

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 39 ways as a sum of consecutive naturals, for example, 174712 + ... + 665288.

Almost surely, 2^206042340000 is an apocalyptic number.

206042340000 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 206042340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386206549344).

206042340000 is an abundant number, since it is smaller than the sum of its proper divisors (566370758688).

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

206042340000 is an equidigital number, since it uses as much as digits as its factorization.

206042340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490617 (or 490594 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 206042340000 its reverse (43240602), we get a palindrome (206085580602).

The spelling of 206042340000 in words is "two hundred six billion, forty-two million, three hundred forty thousand".