201896380794240 has 1536 divisors, whose sum is σ = 836224736256000. Its totient is φ = 46033929953280.

The previous prime is 201896380794187. The next prime is 201896380794247. The reversal of 201896380794240 is 42497083698102.

201896380794240 is a `hidden beast` number, since 2 + 0 + 1 + 8 + 9 + 6 + 380 + 7 + 9 + 4 + 240 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201896380794247) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 4517989177 + ... + 4518033863.

It is an arithmetic number, because the mean of its divisors is an integer number (544417146000).

Almost surely, 2^{201896380794240} is an apocalyptic number.

201896380794240 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 201896380794240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418112368128000).

201896380794240 is an abundant number, since it is smaller than the sum of its proper divisors (634328355461760).

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

201896380794240 is a wasteful number, since it uses less digits than its factorization.

201896380794240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44890 (or 44866 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 201896380794240 in words is "two hundred one trillion, eight hundred ninety-six billion, three hundred eighty million, seven hundred ninety-four thousand, two hundred forty".