42061824 has 156 divisors (see below), whose sum is σ = 139705696. Its totient is φ = 11943936.

The previous prime is 42061793. The next prime is 42061883. The reversal of 42061824 is 42816024.

42061824 is a `hidden beast` number, since 4 + 20 + 618 + 24 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 257967 + ... + 258129.

Almost surely, 2^42061824 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 42061824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69852848).

42061824 is an abundant number, since it is smaller than the sum of its proper divisors (97643872).

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

42061824 is a wasteful number, since it uses less digits than its factorization.

42061824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 42061824 is about 6485.5087695569. The cubic root of 42061824 is about 347.7731379111.

Adding to 42061824 its reverse (42816024), we get a palindrome (84877848).

The spelling of 42061824 in words is "forty-two million, sixty-one thousand, eight hundred twenty-four".