42665742 has 48 divisors (see below), whose sum is σ = 107658720. Its totient is φ = 11958336.

The previous prime is 42665723. The next prime is 42665743. The reversal of 42665742 is 24756624.

It is a junction number, because it is equal to n+sod(n) for n = 42665697 and 42665706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42665743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3484 + ... + 9872.

It is an arithmetic number, because the mean of its divisors is an integer number (2242890).

Almost surely, 2^42665742 is an apocalyptic number.

42665742 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42665742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53829360).

42665742 is an abundant number, since it is smaller than the sum of its proper divisors (64992978).

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

42665742 is a wasteful number, since it uses less digits than its factorization.

42665742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6457 (or 6454 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 42665742 is about 6531.9018669910. The cubic root of 42665742 is about 349.4296615927.

The spelling of 42665742 in words is "forty-two million, six hundred sixty-five thousand, seven hundred forty-two".