42121984 has 36 divisors (see below), whose sum is σ = 86371264. Its totient is φ = 20487168.

The previous prime is 42121979. The next prime is 42121991. The reversal of 42121984 is 48912124.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7249 + ... + 11695.

Almost surely, 2^42121984 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 42121984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43185632).

42121984 is an abundant number, since it is smaller than the sum of its proper divisors (44249280).

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

42121984 is an equidigital number, since it uses as much as digits as its factorization.

42121984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4500 (or 4486 counting only the distinct ones).

The product of its digits is 4608, while the sum is 31.

The square root of 42121984 is about 6490.1451447560. The cubic root of 42121984 is about 347.9388627351.

The spelling of 42121984 in words is "forty-two million, one hundred twenty-one thousand, nine hundred eighty-four".