201041216729088 has 624 divisors, whose sum is σ = 585389486505600. Its totient is φ = 61191969177600.

The previous prime is 201041216729083. The next prime is 201041216729159. The reversal of 201041216729088 is 880927612140102.

It is a self number, because there is not a number n which added to its sum of digits gives 201041216729088.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201041216729083) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60354611583 + ... + 60354614913.

Almost surely, 2^{201041216729088} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201041216729088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292694743252800).

201041216729088 is an abundant number, since it is smaller than the sum of its proper divisors (384348269776512).

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

201041216729088 is a wasteful number, since it uses less digits than its factorization.

201041216729088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3708 (or 3655 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The spelling of 201041216729088 in words is "two hundred one trillion, forty-one billion, two hundred sixteen million, seven hundred twenty-nine thousand, eighty-eight".