13410143053824 has 576 divisors, whose sum is σ = 40481630280000. Its totient is φ = 3941888163840.

The previous prime is 13410143053817. The next prime is 13410143053873. The reversal of 13410143053824 is 42835034101431.

It is a super-2 number, since 2×13410143053824² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13725836824 + ... + 13725837800.

It is an arithmetic number, because the mean of its divisors is an integer number (70280608125).

Almost surely, 2^{13410143053824} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13410143053824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20240815140000).

13410143053824 is an abundant number, since it is smaller than the sum of its proper divisors (27071487226176).

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

13410143053824 is a wasteful number, since it uses less digits than its factorization.

13410143053824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 13410143053824 in words is "thirteen trillion, four hundred ten billion, one hundred forty-three million, fifty-three thousand, eight hundred twenty-four".