42432325632 has 336 divisors, whose sum is σ = 128957758020. Its totient is φ = 13950517248.

The previous prime is 42432325609. The next prime is 42432325651. The reversal of 42432325632 is 23652323424.

It can be written as a sum of positive squares in 2 ways, for example, as 39833773056 + 2598552576 = 199584^2 + 50976^2 .

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 (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 144820078 + ... + 144820370.

Almost surely, 2^42432325632 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 42432325632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64478879010).

42432325632 is an abundant number, since it is smaller than the sum of its proper divisors (86525432388).

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

42432325632 is an frugal number, since it uses more digits than its factorization.

42432325632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 395 counting only the distinct ones).

The product of its digits is 207360, while the sum is 36.

The spelling of 42432325632 in words is "forty-two billion, four hundred thirty-two million, three hundred twenty-five thousand, six hundred thirty-two".