13434140340 has 36 divisors (see below), whose sum is σ = 40750226244. Its totient is φ = 3582437376.

The previous prime is 13434140339. The next prime is 13434140347. The reversal of 13434140340 is 4304143431.

13434140340 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 2 ways, for example, as 1512120996 + 11922019344 = 38886^2 + 109188^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×13434140340² (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 (13434140347) 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 11 ways as a sum of consecutive naturals, for example, 37316877 + ... + 37317236.

It is an arithmetic number, because the mean of its divisors is an integer number (1131950729).

Almost surely, 2^13434140340 is an apocalyptic number.

13434140340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13434140340 is an abundant number, since it is smaller than the sum of its proper divisors (27316085904).

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

13434140340 is a wasteful number, since it uses less digits than its factorization.

13434140340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74634128 (or 74634123 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 13434140340 its reverse (4304143431), we get a palindrome (17738283771).

The spelling of 13434140340 in words is "thirteen billion, four hundred thirty-four million, one hundred forty thousand, three hundred forty".