42361824 has 96 divisors (see below), whose sum is σ = 119369376. Its totient is φ = 13107200.

The previous prime is 42361801. The next prime is 42361829. The reversal of 42361824 is 42816324.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42361791 and 42361800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42361829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164704 + ... + 164960.

It is an arithmetic number, because the mean of its divisors is an integer number (1243431).

Almost surely, 2^42361824 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 42361824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59684688).

42361824 is an abundant number, since it is smaller than the sum of its proper divisors (77007552).

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

42361824 is a wasteful number, since it uses less digits than its factorization.

42361824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 380 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 42361824 is about 6508.5961619999. The cubic root of 42361824 is about 348.5979941617.

The spelling of 42361824 in words is "forty-two million, three hundred sixty-one thousand, eight hundred twenty-four".