201044440129 has 32 divisors (see below), whose sum is σ = 243560005920. Its totient is φ = 164082143232.

The previous prime is 201044440123. The next prime is 201044440189. The reversal of 201044440129 is 921044440102.

It can be written as a sum of positive squares in 16 ways, for example, as 55102867600 + 145941572529 = 234740^2 + 382023^2 .

It is a cyclic number.

It is not a de Polignac number, because 201044440129 - 2²⁹ = 200507569217 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 201044440129.

It is not an unprimeable number, because it can be changed into a prime (201044440123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186774 + ... + 661039.

It is an arithmetic number, because the mean of its divisors is an integer number (7611250185).

Almost surely, 2^201044440129 is an apocalyptic number.

201044440129 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

201044440129 is a deficient number, since it is larger than the sum of its proper divisors (42515565791).

201044440129 is a wasteful number, since it uses less digits than its factorization.

201044440129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847909.

The product of its (nonzero) digits is 9216, while the sum is 31.

The spelling of 201044440129 in words is "two hundred one billion, forty-four million, four hundred forty thousand, one hundred twenty-nine".