6403040558929 has 27 divisors (see below), whose sum is σ = 7491227412753. Its totient is φ = 5456968538112.

The previous prime is 6403040558903. The next prime is 6403040558947. The reversal of 6403040558929 is 9298550403046.

The square root of 6403040558929 is 2530423.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3882566798929 + 2520473760000 = 1970423^2 + 1587600^2 .

It is not a de Polignac number, because 6403040558929 - 2¹⁵ = 6403040526161 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 6403040558929.

It is not an unprimeable number, because it can be changed into a prime (6403040558969) 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, 3418600537 + ... + 3418602409.

It is an arithmetic number, because the mean of its divisors is an integer number (277452867139).

Almost surely, 2^{6403040558929} is an apocalyptic number.

6403040558929 is the 2530423-rd square number.

6403040558929 is the 1265212-nd centered octagonal number.

It is an amenable number.

6403040558929 is a deficient number, since it is larger than the sum of its proper divisors (1088186853824).

6403040558929 is an frugal number, since it uses more digits than its factorization.

6403040558929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4146 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 55.

The spelling of 6403040558929 in words is "six trillion, four hundred three billion, forty million, five hundred fifty-eight thousand, nine hundred twenty-nine".