42541824 has 72 divisors (see below), whose sum is σ = 121961392. Its totient is φ = 13086720.

The previous prime is 42541801. The next prime is 42541841. The reversal of 42541824 is 42814524.

It is a junction number, because it is equal to n+sod(n) for n = 42541791 and 42541800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7854 + ... + 12114.

Almost surely, 2^42541824 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 42541824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60980696).

42541824 is an abundant number, since it is smaller than the sum of its proper divisors (79419568).

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

42541824 is a wasteful number, since it uses less digits than its factorization.

42541824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4293 (or 4279 counting only the distinct ones).

The product of its digits is 10240, while the sum is 30.

The square root of 42541824 is about 6522.4093707770. The cubic root of 42541824 is about 349.0910400883.

It can be divided in two parts, 42541 and 824, that added together give a triangular number (43365 = T₂₉₄).

The spelling of 42541824 in words is "forty-two million, five hundred forty-one thousand, eight hundred twenty-four".