13410440361 has 24 divisors (see below), whose sum is σ = 20518491240. Its totient is φ = 8410945536.

The previous prime is 13410440359. The next prime is 13410440377. The reversal of 13410440361 is 16304401431.

13410440361 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 36905625 + 13373534736 = 6075^2 + 115644^2 .

It is not a de Polignac number, because 13410440361 - 2¹ = 13410440359 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13410440161) 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 23 ways as a sum of consecutive naturals, for example, 386205 + ... + 419493.

It is an arithmetic number, because the mean of its divisors is an integer number (854937135).

Almost surely, 2^13410440361 is an apocalyptic number.

It is an amenable number.

13410440361 is a deficient number, since it is larger than the sum of its proper divisors (7108050879).

13410440361 is a wasteful number, since it uses less digits than its factorization.

13410440361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35945 (or 35942 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13410440361 its reverse (16304401431), we get a palindrome (29714841792).

The spelling of 13410440361 in words is "thirteen billion, four hundred ten million, four hundred forty thousand, three hundred sixty-one".