42288521472 has 180 divisors, whose sum is σ = 128782596096. Its totient is φ = 13795937280.

The previous prime is 42288521449. The next prime is 42288521477. The reversal of 42288521472 is 27412588224.

42288521472 is a `hidden beast` number, since 4 + 2 + 2 + 88 + 521 + 47 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (42288521477) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 952897 + ... + 996287.

Almost surely, 2^42288521472 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 42288521472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64391298048).

42288521472 is an abundant number, since it is smaller than the sum of its proper divisors (86494074624).

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

42288521472 is an equidigital number, since it uses as much as digits as its factorization.

42288521472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43466 (or 43443 counting only the distinct ones).

The product of its digits is 573440, while the sum is 45.

It can be divided in two parts, 4228852 and 1472, that added together give a palindrome (4230324).

The spelling of 42288521472 in words is "forty-two billion, two hundred eighty-eight million, five hundred twenty-one thousand, four hundred seventy-two".