42445806732 has 576 divisors, whose sum is σ = 142558617600. Its totient is φ = 10673026560.

The previous prime is 42445806731. The next prime is 42445806743. The reversal of 42445806732 is 23760854424.

It is a happy number.

42445806732 is a `hidden beast` number, since 4 + 2 + 4 + 4 + 580 + 67 + 3 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (42445806731) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 245351398 + ... + 245351570.

It is an arithmetic number, because the mean of its divisors is an integer number (247497600).

Almost surely, 2^42445806732 is an apocalyptic number.

42445806732 is a gapful number since it is divisible by the number (42) 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 42445806732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71279308800).

42445806732 is an abundant number, since it is smaller than the sum of its proper divisors (100112810868).

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

42445806732 is a wasteful number, since it uses less digits than its factorization.

42445806732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 42445806732 in words is "forty-two billion, four hundred forty-five million, eight hundred six thousand, seven hundred thirty-two".