10135338640 has 40 divisors (see below), whose sum is σ = 26931044160. Its totient is φ = 3474973056.

The previous prime is 10135338623. The next prime is 10135338649. The reversal of 10135338640 is 4683353101.

10135338640 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 (40).

It is a junction number, because it is equal to n+sod(n) for n = 10135338596 and 10135338605.

It is not an unprimeable number, because it can be changed into a prime (10135338649) 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 7 ways as a sum of consecutive naturals, for example, 9048850 + ... + 9049969.

It is an arithmetic number, because the mean of its divisors is an integer number (673276104).

Almost surely, 2^10135338640 is an apocalyptic number.

10135338640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10135338640 is an abundant number, since it is smaller than the sum of its proper divisors (16795705520).

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

10135338640 is a wasteful number, since it uses less digits than its factorization.

10135338640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18098839 (or 18098833 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 10135338640 in words is "ten billion, one hundred thirty-five million, three hundred thirty-eight thousand, six hundred forty".