42024416 has 48 divisors (see below), whose sum is σ = 96776064. Its totient is φ = 17587584.

The previous prime is 42024401. The next prime is 42024457. The reversal of 42024416 is 61442024.

It is a junction number, because it is equal to n+sod(n) for n = 42024391 and 42024400.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 7451 + ... + 11813.

It is an arithmetic number, because the mean of its divisors is an integer number (2016168).

Almost surely, 2^42024416 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 42024416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48388032).

42024416 is an abundant number, since it is smaller than the sum of its proper divisors (54751648).

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

42024416 is a wasteful number, since it uses less digits than its factorization.

42024416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4423 (or 4415 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 42024416 is about 6482.6241600142. The cubic root of 42024416 is about 347.6700091123.

The spelling of 42024416 in words is "forty-two million, twenty-four thousand, four hundred sixteen".