13340004327936 has 2880 divisors, whose sum is σ = 51864496459776. Its totient is φ = 3369981542400.

The previous prime is 13340004327919. The next prime is 13340004328019. The reversal of 13340004327936 is 63972340004331.

It is a happy number.

13340004327936 is a `hidden beast` number, since 1 + 3 + 340 + 0 + 0 + 4 + 3 + 279 + 36 = 666.

It is a super-2 number, since 2×13340004327936² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13340004327891 and 13340004327900.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 199104542175 + ... + 199104542241.

Almost surely, 2^{13340004327936} is an apocalyptic number.

13340004327936 is a gapful number since it is divisible by the number (16) 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 13340004327936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25932248229888).

13340004327936 is an abundant number, since it is smaller than the sum of its proper divisors (38524492131840).

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

13340004327936 is a wasteful number, since it uses less digits than its factorization.

13340004327936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 45.

The spelling of 13340004327936 in words is "thirteen trillion, three hundred forty billion, four million, three hundred twenty-seven thousand, nine hundred thirty-six".