42045024 has 192 divisors, whose sum is σ = 137894400. Its totient is φ = 10948608.

The previous prime is 42045019. The next prime is 42045037. The reversal of 42045024 is 42054024.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 472372 + ... + 472460.

It is an arithmetic number, because the mean of its divisors is an integer number (718200).

Almost surely, 2^42045024 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 42045024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68947200).

42045024 is an abundant number, since it is smaller than the sum of its proper divisors (95849376).

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

42045024 is a wasteful number, since it uses less digits than its factorization.

42045024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 42045024 is about 6484.2134449754. The cubic root of 42045024 is about 347.7268301495.

Adding to 42045024 its reverse (42054024), we get a palindrome (84099048).

The spelling of 42045024 in words is "forty-two million, forty-five thousand, twenty-four".