42432444032 has 128 divisors (see below), whose sum is σ = 99332006400. Its totient is φ = 17846922240.

The previous prime is 42432444031. The next prime is 42432444071. The reversal of 42432444032 is 23044423424.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 42432444032.

It is not an unprimeable number, because it can be changed into a prime (42432444031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1131893 + ... + 1168779.

It is an arithmetic number, because the mean of its divisors is an integer number (776031300).

Almost surely, 2^42432444032 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 42432444032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49666003200).

42432444032 is an abundant number, since it is smaller than the sum of its proper divisors (56899562368).

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

42432444032 is a wasteful number, since it uses less digits than its factorization.

42432444032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36974 (or 36962 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 42432444032 its reverse (23044423424), we get a palindrome (65476867456).

The spelling of 42432444032 in words is "forty-two billion, four hundred thirty-two million, four hundred forty-four thousand, thirty-two".