201140240224 has 192 divisors, whose sum is σ = 498161664000. Its totient is φ = 77662886400.

The previous prime is 201140240219. The next prime is 201140240243. The reversal of 201140240224 is 422042041102.

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 = 201140240195 and 201140240204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152493837 + ... + 152495155.

It is an arithmetic number, because the mean of its divisors is an integer number (2594592000).

Almost surely, 2^201140240224 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 201140240224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249080832000).

201140240224 is an abundant number, since it is smaller than the sum of its proper divisors (297021423776).

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

201140240224 is a wasteful number, since it uses less digits than its factorization.

201140240224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 201140240224 its reverse (422042041102), we get a palindrome (623182281326).

The spelling of 201140240224 in words is "two hundred one billion, one hundred forty million, two hundred forty thousand, two hundred twenty-four".