42381824 has 80 divisors (see below), whose sum is σ = 91333440. Its totient is φ = 19599360.

The previous prime is 42381811. The next prime is 42381839. The reversal of 42381824 is 42818324.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 694754 + ... + 694814.

It is an arithmetic number, because the mean of its divisors is an integer number (1141668).

Almost surely, 2^42381824 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 42381824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45666720).

42381824 is an abundant number, since it is smaller than the sum of its proper divisors (48951616).

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

42381824 is an equidigital number, since it uses as much as digits as its factorization.

42381824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 145 counting only the distinct ones).

The product of its digits is 12288, while the sum is 32.

The square root of 42381824 is about 6510.1324103278. The cubic root of 42381824 is about 348.6528459308.

The spelling of 42381824 in words is "forty-two million, three hundred eighty-one thousand, eight hundred twenty-four".