42121584 has 60 divisors (see below), whose sum is σ = 119526576. Its totient is φ = 13844736.

The previous prime is 42121567. The next prime is 42121603. The reversal of 42121584 is 48512124.

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 11 ways as a sum of consecutive naturals, for example, 8509 + ... + 12515.

Almost surely, 2^42121584 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 42121584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59763288).

42121584 is an abundant number, since it is smaller than the sum of its proper divisors (77404992).

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

42121584 is a wasteful number, since it uses less digits than its factorization.

42121584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4094 (or 4085 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 42121584 is about 6490.1143287310. The cubic root of 42121584 is about 347.9377613626.

The spelling of 42121584 in words is "forty-two million, one hundred twenty-one thousand, five hundred eighty-four".