42386112 has 112 divisors (see below), whose sum is σ = 131267200. Its totient is φ = 13374720.

The previous prime is 42386059. The next prime is 42386129. The reversal of 42386112 is 21168324.

42386112 is a `hidden beast` number, since 42 + 3 + 8 + 611 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32187 + ... + 33477.

Almost surely, 2^42386112 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 42386112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65633600).

42386112 is an abundant number, since it is smaller than the sum of its proper divisors (88881088).

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

42386112 is a wasteful number, since it uses less digits than its factorization.

42386112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1315 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 42386112 is about 6510.4617347773. The cubic root of 42386112 is about 348.6646039034.

The spelling of 42386112 in words is "forty-two million, three hundred eighty-six thousand, one hundred twelve".