13334412042 has 144 divisors (see below), whose sum is σ = 34543926144. Its totient is φ = 3704400000.

The previous prime is 13334412037. The next prime is 13334412071. The reversal of 13334412042 is 24021443331.

13334412042 is a `hidden beast` number, since 13 + 3 + 3 + 441 + 204 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13334411997 and 13334412015.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17755167 + ... + 17755917.

It is an arithmetic number, because the mean of its divisors is an integer number (239888376).

Almost surely, 2^13334412042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13334412042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17271963072).

13334412042 is an abundant number, since it is smaller than the sum of its proper divisors (21209514102).

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

13334412042 is a wasteful number, since it uses less digits than its factorization.

13334412042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 13334412042 its reverse (24021443331), we get a palindrome (37355855373).

The spelling of 13334412042 in words is "thirteen billion, three hundred thirty-four million, four hundred twelve thousand, forty-two".