201240334240 has 192 divisors, whose sum is σ = 551317995648. Its totient is φ = 68603084800.

The previous prime is 201240334219. The next prime is 201240334277. The reversal of 201240334240 is 42433042102.

It is a happy number.

201240334240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7676355 + ... + 7702525.

It is an arithmetic number, because the mean of its divisors is an integer number (2871447894).

Almost surely, 2^201240334240 is an apocalyptic number.

201240334240 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 201240334240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275658997824).

201240334240 is an abundant number, since it is smaller than the sum of its proper divisors (350077661408).

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

201240334240 is a wasteful number, since it uses less digits than its factorization.

201240334240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26471 (or 26463 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 201240334240 its reverse (42433042102), we get a palindrome (243673376342).

The spelling of 201240334240 in words is "two hundred one billion, two hundred forty million, three hundred thirty-four thousand, two hundred forty".