42301237632 has 256 divisors, whose sum is σ = 127309708800. Its totient is φ = 12364185600.

The previous prime is 42301237619. The next prime is 42301237633. The reversal of 42301237632 is 23673210324.

It is a junction number, because it is equal to n+sod(n) for n = 42301237593 and 42301237602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42301237633) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7563157 + ... + 7568747.

It is an arithmetic number, because the mean of its divisors is an integer number (497303550).

Almost surely, 2^42301237632 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 42301237632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63654854400).

42301237632 is an abundant number, since it is smaller than the sum of its proper divisors (85008471168).

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

42301237632 is a wasteful number, since it uses less digits than its factorization.

42301237632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5705 (or 5693 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 33.

Adding to 42301237632 its reverse (23673210324), we get a palindrome (65974447956).

The spelling of 42301237632 in words is "forty-two billion, three hundred one million, two hundred thirty-seven thousand, six hundred thirty-two".