13400424102340 has 96 divisors (see below), whose sum is σ = 30786679123200. Its totient is φ = 4859001285120.

The previous prime is 13400424102293. The next prime is 13400424102353. The reversal of 13400424102340 is 4320142400431.

It is a super-2 number, since 2×13400424102340² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13400424102299 and 13400424102308.

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 31 ways as a sum of consecutive naturals, for example, 172742842 + ... + 172820398.

It is an arithmetic number, because the mean of its divisors is an integer number (320694574200).

Almost surely, 2^{13400424102340} is an apocalyptic number.

13400424102340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13400424102340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15393339561600).

13400424102340 is an abundant number, since it is smaller than the sum of its proper divisors (17386255020860).

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

13400424102340 is a wasteful number, since it uses less digits than its factorization.

13400424102340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79805 (or 79803 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 13400424102340 its reverse (4320142400431), we get a palindrome (17720566502771).

The spelling of 13400424102340 in words is "thirteen trillion, four hundred billion, four hundred twenty-four million, one hundred two thousand, three hundred forty".