42506633423232 has 512 divisors, whose sum is σ = 139383773568000. Its totient is φ = 12644687462400.

The previous prime is 42506633423231. The next prime is 42506633423297. The reversal of 42506633423232 is 23232433660524.

42506633423232 is a `hidden beast` number, since 4 + 2 + 5 + 0 + 6 + 633 + 4 + 2 + 3 + 2 + 3 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42506633423231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 628864894 + ... + 628932482.

It is an arithmetic number, because the mean of its divisors is an integer number (272233932750).

Almost surely, 2^{42506633423232} 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 42506633423232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69691886784000).

42506633423232 is an abundant number, since it is smaller than the sum of its proper divisors (96877140144768).

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

42506633423232 is a wasteful number, since it uses less digits than its factorization.

42506633423232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67927 (or 67909 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 45.

The spelling of 42506633423232 in words is "forty-two trillion, five hundred six billion, six hundred thirty-three million, four hundred twenty-three thousand, two hundred thirty-two".