4040771872289 has 2 divisors, whose sum is σ = 4040771872290. Its totient is φ = 4040771872288.

The previous prime is 4040771872273. The next prime is 4040771872373. The reversal of 4040771872289 is 9822781770404.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2661009187600 + 1379762684689 = 1631260^2 + 1174633^2 .

It is a cyclic number.

It is not a de Polignac number, because 4040771872289 - 2⁴ = 4040771872273 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (4040771872889) 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 as a sum of consecutive naturals, namely, 2020385936144 + 2020385936145.

It is an arithmetic number, because the mean of its divisors is an integer number (2020385936145).

Almost surely, 2^{4040771872289} is an apocalyptic number.

It is an amenable number.

4040771872289 is a deficient number, since it is larger than the sum of its proper divisors (1).

4040771872289 is an equidigital number, since it uses as much as digits as its factorization.

4040771872289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12644352, while the sum is 59.

The spelling of 4040771872289 in words is "four trillion, forty billion, seven hundred seventy-one million, eight hundred seventy-two thousand, two hundred eighty-nine".