4040634677689 has 27 divisors (see below), whose sum is σ = 4248746954127. Its totient is φ = 3842570242800.

The previous prime is 4040634677659. The next prime is 4040634677707. The reversal of 4040634677689 is 9867764360404.

The square root of 4040634677689 is 2010133.

It is a perfect power (a square), and thus also a powerful number.

4040634677689 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 131393925289 + 3909240752400 = 362483^2 + 1977180^2 .

It is not a de Polignac number, because 4040634677689 - 2¹⁹ = 4040634153401 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 4040634677689.

It is not an unprimeable number, because it can be changed into a prime (4040634677659) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3801160972 + ... + 3801162034.

It is an arithmetic number, because the mean of its divisors is an integer number (157360998301).

Almost surely, 2^{4040634677689} is an apocalyptic number.

4040634677689 is the 2010133-rd square number.

4040634677689 is the 1005067-th centered octagonal number.

It is an amenable number.

4040634677689 is a deficient number, since it is larger than the sum of its proper divisors (208112276438).

4040634677689 is an frugal number, since it uses more digits than its factorization.

4040634677689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2310 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 64.

Multiplying 4040634677689 by its sum of digits (64), we get a square (258600619372096 = 16081064²).

The spelling of 4040634677689 in words is "four trillion, forty billion, six hundred thirty-four million, six hundred seventy-seven thousand, six hundred eighty-nine".