13354335422340 has 384 divisors, whose sum is σ = 42043228028928. Its totient is φ = 3139402936320.

The previous prime is 13354335422339. The next prime is 13354335422353. The reversal of 13354335422340 is 4322453345331.

It is a junction number, because it is equal to n+sod(n) for n = 13354335422292 and 13354335422301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3754379842 + ... + 3754383398.

It is an arithmetic number, because the mean of its divisors is an integer number (109487572992).

Almost surely, 2^{13354335422340} is an apocalyptic number.

13354335422340 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 13354335422340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21021614014464).

13354335422340 is an abundant number, since it is smaller than the sum of its proper divisors (28688892606588).

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

13354335422340 is a wasteful number, since it uses less digits than its factorization.

13354335422340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4707 (or 4705 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 42.

Adding to 13354335422340 its reverse (4322453345331), we get a palindrome (17676788767671).

The spelling of 13354335422340 in words is "thirteen trillion, three hundred fifty-four billion, three hundred thirty-five million, four hundred twenty-two thousand, three hundred forty".