42041584 has 40 divisors (see below), whose sum is σ = 88588080. Its totient is φ = 19212288.

The previous prime is 42041581. The next prime is 42041603. The reversal of 42041584 is 48514024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42041581) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21312 + ... + 23200.

It is an arithmetic number, because the mean of its divisors is an integer number (2214702).

Almost surely, 2^42041584 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 42041584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44294040).

42041584 is an abundant number, since it is smaller than the sum of its proper divisors (46546496).

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

42041584 is a wasteful number, since it uses less digits than its factorization.

42041584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2017 (or 2011 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

The square root of 42041584 is about 6483.9481799286. The cubic root of 42041584 is about 347.7173465625.

The spelling of 42041584 in words is "forty-two million, forty-one thousand, five hundred eighty-four".