201004040441 has 16 divisors (see below), whose sum is σ = 204686770176. Its totient is φ = 197355107856.

The previous prime is 201004040431. The next prime is 201004040509. The reversal of 201004040441 is 144040400102.

It is a happy number.

201004040441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 201004040441 - 2³⁴ = 183824171257 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (201004040401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8985116 + ... + 9007458.

It is an arithmetic number, because the mean of its divisors is an integer number (12792923136).

Almost surely, 2^201004040441 is an apocalyptic number.

It is an amenable number.

201004040441 is a deficient number, since it is larger than the sum of its proper divisors (3682729735).

201004040441 is a wasteful number, since it uses less digits than its factorization.

201004040441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23092.

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 201004040441 its reverse (144040400102), we get a palindrome (345044440543).

The spelling of 201004040441 in words is "two hundred one billion, four million, forty thousand, four hundred forty-one".