201641882449824 has 768 divisors, whose sum is σ = 626521551667200. Its totient is φ = 63011330224128.

The previous prime is 201641882449729. The next prime is 201641882449949. The reversal of 201641882449824 is 428944288146102.

201641882449824 is a `hidden beast` number, since 2 + 0 + 1 + 6 + 4 + 188 + 2 + 449 + 8 + 2 + 4 = 666.

201641882449824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39390871137 + ... + 39390876255.

It is an arithmetic number, because the mean of its divisors is an integer number (815783270400).

Almost surely, 2^{201641882449824} is an apocalyptic number.

201641882449824 is a gapful number since it is divisible by the number (24) 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 201641882449824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313260775833600).

201641882449824 is an abundant number, since it is smaller than the sum of its proper divisors (424879669217376).

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

201641882449824 is a wasteful number, since it uses less digits than its factorization.

201641882449824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5642 (or 5628 counting only the distinct ones).

The product of its (nonzero) digits is 56623104, while the sum is 63.

The spelling of 201641882449824 in words is "two hundred one trillion, six hundred forty-one billion, eight hundred eighty-two million, four hundred forty-nine thousand, eight hundred twenty-four".