13340343421440 has 360 divisors, whose sum is σ = 53744445174420. Its totient is φ = 3049221095424.

The previous prime is 13340343421261. The next prime is 13340343421477. The reversal of 13340343421440 is 4412434304331.

13340343421440 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 0 + 3 + 434 + 214 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13312457093376 + 27886328064 = 3648624^2 + 166992^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×13340343421440³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13340343421395 and 13340343421404.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4779285 + ... + 7037204.

Almost surely, 2^{13340343421440} is an apocalyptic number.

13340343421440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13340343421440 is an abundant number, since it is smaller than the sum of its proper divisors (40404101752980).

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

13340343421440 is a wasteful number, since it uses less digits than its factorization.

13340343421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11816532 (or 11816506 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 13340343421440 its reverse (4412434304331), we get a palindrome (17752777725771).

The spelling of 13340343421440 in words is "thirteen trillion, three hundred forty billion, three hundred forty-three million, four hundred twenty-one thousand, four hundred forty".