42019824 has 80 divisors (see below), whose sum is σ = 135348480. Its totient is φ = 10913280.

The previous prime is 42019823. The next prime is 42019843. The reversal of 42019824 is 42891024.

It is a junction number, because it is equal to n+sod(n) for n = 42019791 and 42019800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42019823) 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, 1989 + ... + 9380.

It is an arithmetic number, because the mean of its divisors is an integer number (1691856).

Almost surely, 2^42019824 is an apocalyptic number.

42019824 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42019824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67674240).

42019824 is an abundant number, since it is smaller than the sum of its proper divisors (93328656).

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

42019824 is a wasteful number, since it uses less digits than its factorization.

42019824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11398 (or 11392 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 42019824 is about 6482.2699727796. The cubic root of 42019824 is about 347.6573453723.

The spelling of 42019824 in words is "forty-two million, nineteen thousand, eight hundred twenty-four".