13412010571344 has 300 divisors, whose sum is σ = 49261009647168. Its totient is φ = 3483638928000.

The previous prime is 13412010571291. The next prime is 13412010571367. The reversal of 13412010571344 is 44317501021431.

13412010571344 is a `hidden beast` number, since 1 + 3 + 41 + 2 + 0 + 1 + 0 + 571 + 3 + 44 = 666.

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 = 13412010571299 and 13412010571308.

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 8901432 + ... + 10298519.

Almost surely, 2^{13412010571344} is an apocalyptic number.

13412010571344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13412010571344 is an abundant number, since it is smaller than the sum of its proper divisors (35848999075824).

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

13412010571344 is a wasteful number, since it uses less digits than its factorization.

13412010571344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19199996 (or 19199974 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 13412010571344 its reverse (44317501021431), we get a palindrome (57729511592775).

The spelling of 13412010571344 in words is "thirteen trillion, four hundred twelve billion, ten million, five hundred seventy-one thousand, three hundred forty-four".