201040114240 has 224 divisors, whose sum is σ = 557443989504. Its totient is φ = 67635025920.

The previous prime is 201040114229. The next prime is 201040114279. The reversal of 201040114240 is 42411040102.

201040114240 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 (224).

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 31 ways as a sum of consecutive naturals, for example, 40669209 + ... + 40674151.

Almost surely, 2^201040114240 is an apocalyptic number.

201040114240 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 201040114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278721994752).

201040114240 is an abundant number, since it is smaller than the sum of its proper divisors (356403875264).

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

201040114240 is a wasteful number, since it uses less digits than its factorization.

201040114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5305 (or 5295 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 201040114240 its reverse (42411040102), we get a palindrome (243451154342).

The spelling of 201040114240 in words is "two hundred one billion, forty million, one hundred fourteen thousand, two hundred forty".