42530938560 has 756 divisors, whose sum is σ = 167459265792. Its totient is φ = 9899366400.

The previous prime is 42530938553. The next prime is 42530938603. The reversal of 42530938560 is 6583903524.

42530938560 is a `hidden beast` number, since 4 + 2 + 53 + 0 + 9 + 38 + 560 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 334889217 + ... + 334889343.

Almost surely, 2^42530938560 is an apocalyptic number.

42530938560 is a gapful number since it is divisible by the number (40) 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 42530938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83729632896).

42530938560 is an abundant number, since it is smaller than the sum of its proper divisors (124928327232).

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

42530938560 is a wasteful number, since it uses less digits than its factorization.

42530938560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 42530938560 in words is "forty-two billion, five hundred thirty million, nine hundred thirty-eight thousand, five hundred sixty".