201340200040 has 32 divisors (see below), whose sum is σ = 517731943680. Its totient is φ = 69030925632.

The previous prime is 201340200031. The next prime is 201340200059. The reversal of 201340200040 is 40002043102.

201340200040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 201340199987 and 201340200023.

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 7 ways as a sum of consecutive naturals, for example, 359535792 + ... + 359536351.

It is an arithmetic number, because the mean of its divisors is an integer number (16179123240).

Almost surely, 2^201340200040 is an apocalyptic number.

201340200040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201340200040 is an abundant number, since it is smaller than the sum of its proper divisors (316391743640).

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

201340200040 is a wasteful number, since it uses less digits than its factorization.

201340200040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719072161 (or 719072157 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 201340200040 its reverse (40002043102), we get a palindrome (241342243142).

The spelling of 201340200040 in words is "two hundred one billion, three hundred forty million, two hundred thousand, forty".