13414134420340 has 24 divisors (see below), whose sum is σ = 28185751770120. Its totient is φ = 5362592913408.

The previous prime is 13414134420311. The next prime is 13414134420359. The reversal of 13414134420340 is 4302443141431.

It can be written as a sum of positive squares in 4 ways, for example, as 1321851479524 + 12092282940816 = 1149718^2 + 3477396^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13414134420296 and 13414134420305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 191267485 + ... + 191337604.

It is an arithmetic number, because the mean of its divisors is an integer number (1174406323755).

Almost surely, 2^{13414134420340} is an apocalyptic number.

13414134420340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13414134420340 is an abundant number, since it is smaller than the sum of its proper divisors (14771617349780).

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

13414134420340 is a wasteful number, since it uses less digits than its factorization.

13414134420340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382606851 (or 382606849 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 13414134420340 its reverse (4302443141431), we get a palindrome (17716577561771).

The spelling of 13414134420340 in words is "thirteen trillion, four hundred fourteen billion, one hundred thirty-four million, four hundred twenty thousand, three hundred forty".