201317840640 has 2016 divisors, whose sum is σ = 916871356800. Its totient is φ = 42138206208.

The previous prime is 201317840573. The next prime is 201317840641. The reversal of 201317840640 is 46048713102.

201317840640 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 1 + 7 + 8 + 4 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 201317840595 and 201317840604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201317840641) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 5441022702 + ... + 5441022738.

It is an arithmetic number, because the mean of its divisors is an integer number (454797300).

Almost surely, 2^201317840640 is an apocalyptic number.

201317840640 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 201317840640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458435678400).

201317840640 is an abundant number, since it is smaller than the sum of its proper divisors (715553516160).

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

201317840640 is an frugal number, since it uses more digits than its factorization.

201317840640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 201317840640 in words is "two hundred one billion, three hundred seventeen million, eight hundred forty thousand, six hundred forty".