10838834410 has 48 divisors (see below), whose sum is σ = 20730001320. Its totient is φ = 4078926720.

The previous prime is 10838834399. The next prime is 10838834467. The reversal of 10838834410 is 1443883801.

10838834410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8975099169 + 1863735241 = 94737^2 + 43171^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 305896 + ... + 339484.

Almost surely, 2^10838834410 is an apocalyptic number.

10838834410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10838834410 is a deficient number, since it is larger than the sum of its proper divisors (9891166910).

10838834410 is a wasteful number, since it uses less digits than its factorization.

10838834410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33703 (or 33680 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The spelling of 10838834410 in words is "ten billion, eight hundred thirty-eight million, eight hundred thirty-four thousand, four hundred ten".