10634040256 has 28 divisors (see below), whose sum is σ = 24116485168. Its totient is φ = 4557445632.

The previous prime is 10634040233. The next prime is 10634040259. The reversal of 10634040256 is 65204043601.

10634040256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-2 number, since 2×10634040256² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10634040259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11867901 + ... + 11868796.

Almost surely, 2^10634040256 is an apocalyptic number.

10634040256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10634040256 is an abundant number, since it is smaller than the sum of its proper divisors (13482444912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10634040256 is an equidigital number, since it uses as much as digits as its factorization.

10634040256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23736716 (or 23736706 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 10634040256 its reverse (65204043601), we get a palindrome (75838083857).

The spelling of 10634040256 in words is "ten billion, six hundred thirty-four million, forty thousand, two hundred fifty-six".