2010444140429 has 16 divisors (see below), whose sum is σ = 2040512634864. Its totient is φ = 1980589056000.

The previous prime is 2010444140293. The next prime is 2010444140447. The reversal of 2010444140429 is 9240414440102.

It can be written as a sum of positive squares in 8 ways, for example, as 1022984576329 + 987459564100 = 1011427^2 + 993710^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2010444140429 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010444140449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29004197 + ... + 29073429.

It is an arithmetic number, because the mean of its divisors is an integer number (127532039679).

Almost surely, 2^{2010444140429} is an apocalyptic number.

It is an amenable number.

2010444140429 is a deficient number, since it is larger than the sum of its proper divisors (30068494435).

2010444140429 is a wasteful number, since it uses less digits than its factorization.

2010444140429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70768.

The product of its (nonzero) digits is 36864, while the sum is 35.

The spelling of 2010444140429 in words is "two trillion, ten billion, four hundred forty-four million, one hundred forty thousand, four hundred twenty-nine".