42066024 has 256 divisors, whose sum is σ = 150958080. Its totient is φ = 9400320.

The previous prime is 42066023. The next prime is 42066067.

42066024 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 42065985 and 42066003.

It is not an unprimeable number, because it can be changed into a prime (42066023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 408357 + ... + 408459.

It is an arithmetic number, because the mean of its divisors is an integer number (589680).

Almost surely, 2^42066024 is an apocalyptic number.

42066024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42066024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75479040).

42066024 is an abundant number, since it is smaller than the sum of its proper divisors (108892056).

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

42066024 is a wasteful number, since it uses less digits than its factorization.

42066024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 42066024 is about 6485.8325602809. The cubic root of 42066024 is about 347.7847129248.

The spelling of 42066024 in words is "forty-two million, sixty-six thousand, twenty-four".