42027508224 has 120 divisors (see below), whose sum is σ = 130624746252. Its totient is φ = 12931522560.

The previous prime is 42027508199. The next prime is 42027508319. The reversal of 42027508224 is 42280572024.

42027508224 is a `hidden beast` number, since 420 + 2 + 7 + 5 + 0 + 8 + 224 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41439930624 + 587577600 = 203568^2 + 24240^2 .

It is a super-2 number, since 2×42027508224² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 290887 + ... + 410694.

Almost surely, 2^42027508224 is an apocalyptic number.

It is an amenable number.

42027508224 is an abundant number, since it is smaller than the sum of its proper divisors (88597238028).

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

42027508224 is a wasteful number, since it uses less digits than its factorization.

42027508224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701618 (or 701599 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 42027508224 in words is "forty-two billion, twenty-seven million, five hundred eight thousand, two hundred twenty-four".