42109984 has 48 divisors (see below), whose sum is σ = 96562368. Its totient is φ = 17701632.

The previous prime is 42109981. The next prime is 42109999. The reversal of 42109984 is 48990124.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42109981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10099 + ... + 13645.

It is an arithmetic number, because the mean of its divisors is an integer number (2011716).

Almost surely, 2^42109984 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 42109984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48281184).

42109984 is an abundant number, since it is smaller than the sum of its proper divisors (54452384).

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

42109984 is a wasteful number, since it uses less digits than its factorization.

42109984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3617 (or 3609 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 42109984 is about 6489.2206003495. The cubic root of 42109984 is about 347.9058185262.

The spelling of 42109984 in words is "forty-two million, one hundred nine thousand, nine hundred eighty-four".