13430241877104 has 240 divisors, whose sum is σ = 42275846776800. Its totient is φ = 3952547518464.

The previous prime is 13430241877099. The next prime is 13430241877147. The reversal of 13430241877104 is 40177814203431.

13430241877104 is a `hidden beast` number, since 1 + 3 + 430 + 2 + 41 + 8 + 77 + 104 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13430241877104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2443362 + ... + 5729790.

It is an arithmetic number, because the mean of its divisors is an integer number (176149361570).

Almost surely, 2^{13430241877104} 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 13430241877104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21137923388400).

13430241877104 is an abundant number, since it is smaller than the sum of its proper divisors (28845604899696).

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

13430241877104 is a wasteful number, since it uses less digits than its factorization.

13430241877104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3286552 (or 3286543 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 13430241877104 in words is "thirteen trillion, four hundred thirty billion, two hundred forty-one million, eight hundred seventy-seven thousand, one hundred four".