13042414350000 has 720 divisors, whose sum is σ = 52433996509440. Its totient is φ = 2964340800000.

The previous prime is 13042414349977. The next prime is 13042414350011. The reversal of 13042414350000 is 5341424031.

It is a happy number.

13042414350000 is a `hidden beast` number, since 1 + 304 + 2 + 4 + 1 + 4 + 350 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 563838435 + ... + 563861565.

It is an arithmetic number, because the mean of its divisors is an integer number (72824995152).

Almost surely, 2^{13042414350000} is an apocalyptic number.

13042414350000 is a gapful number since it is divisible by the number (10) 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 13042414350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26216998254720).

13042414350000 is an abundant number, since it is smaller than the sum of its proper divisors (39391582159440).

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

13042414350000 is a wasteful number, since it uses less digits than its factorization.

13042414350000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23356 (or 23327 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 13042414350000 its reverse (5341424031), we get a palindrome (13047755774031).

The spelling of 13042414350000 in words is "thirteen trillion, forty-two billion, four hundred fourteen million, three hundred fifty thousand".