2010441144129 has 16 divisors (see below), whose sum is σ = 2924305754304. Its totient is φ = 1218437625600.

The previous prime is 2010441144119. The next prime is 2010441144157. The reversal of 2010441144129 is 9214411440102.

It is not a de Polignac number, because 2010441144129 - 2⁴ = 2010441144113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 2010441144129.

It is not an unprimeable number, because it can be changed into a prime (2010441144119) 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, 4362357 + ... + 4801149.

It is an arithmetic number, because the mean of its divisors is an integer number (182769109644).

Almost surely, 2^{2010441144129} is an apocalyptic number.

It is an amenable number.

2010441144129 is a deficient number, since it is larger than the sum of its proper divisors (913864610175).

2010441144129 is a wasteful number, since it uses less digits than its factorization.

2010441144129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577648.

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 2010441144129 in words is "two trillion, ten billion, four hundred forty-one million, one hundred forty-four thousand, one hundred twenty-nine".