42112104336 has 480 divisors, whose sum is σ = 138780700800. Its totient is φ = 12182814720.

The previous prime is 42112104313. The next prime is 42112104361. The reversal of 42112104336 is 63340121124.

It is a happy number.

42112104336 is a `hidden beast` number, since 4 + 2 + 11 + 210 + 433 + 6 = 666.

42112104336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97256376 + ... + 97256808.

It is an arithmetic number, because the mean of its divisors is an integer number (289126460).

Almost surely, 2^42112104336 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 42112104336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69390350400).

42112104336 is an abundant number, since it is smaller than the sum of its proper divisors (96668596464).

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

42112104336 is a wasteful number, since it uses less digits than its factorization.

42112104336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 42112104336 in words is "forty-two billion, one hundred twelve million, one hundred four thousand, three hundred thirty-six".