201041141224 has 256 divisors, whose sum is σ = 514798387200. Its totient is φ = 71229715200.

The previous prime is 201041141207. The next prime is 201041141239. The reversal of 201041141224 is 422141140102.

201041141224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 201041141195 and 201041141204.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46076467 + ... + 46080829.

It is an arithmetic number, because the mean of its divisors is an integer number (2010931200).

Almost surely, 2^201041141224 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 201041141224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257399193600).

201041141224 is an abundant number, since it is smaller than the sum of its proper divisors (313757245976).

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

201041141224 is a wasteful number, since it uses less digits than its factorization.

201041141224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4564 (or 4560 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 201041141224 its reverse (422141140102), we get a palindrome (623182281326).

The spelling of 201041141224 in words is "two hundred one billion, forty-one million, one hundred forty-one thousand, two hundred twenty-four".