10340991361 has 16 divisors (see below), whose sum is σ = 11026121040. Its totient is φ = 9679703040.

The previous prime is 10340991347. The next prime is 10340991391. The reversal of 10340991361 is 16319904301.

It can be written as a sum of positive squares in 8 ways, for example, as 3380259600 + 6960731761 = 58140^2 + 83431^2 .

It is a cyclic number.

It is not a de Polignac number, because 10340991361 - 2²⁵ = 10307436929 is a prime.

It is a super-2 number, since 2×10340991361² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

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 10340991361.

It is not an unprimeable number, because it can be changed into a prime (10340991391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284365 + ... + 318661.

It is an arithmetic number, because the mean of its divisors is an integer number (689132565).

Almost surely, 2^10340991361 is an apocalyptic number.

It is an amenable number.

10340991361 is a deficient number, since it is larger than the sum of its proper divisors (685129679).

10340991361 is a wasteful number, since it uses less digits than its factorization.

10340991361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34644.

The product of its (nonzero) digits is 17496, while the sum is 37.

The spelling of 10340991361 in words is "ten billion, three hundred forty million, nine hundred ninety-one thousand, three hundred sixty-one".