42362368888032 has 288 divisors, whose sum is σ = 127655551296000. Its totient is φ = 13288443227136.

The previous prime is 42362368888019. The next prime is 42362368888033. The reversal of 42362368888032 is 23088886326324.

It is a happy number.

42362368888032 is a `hidden beast` number, since 4 + 236 + 2 + 368 + 8 + 8 + 8 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42362368888033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 667481133 + ... + 667544595.

It is an arithmetic number, because the mean of its divisors is an integer number (443248442000).

Almost surely, 2^{42362368888032} 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 42362368888032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63827775648000).

42362368888032 is an abundant number, since it is smaller than the sum of its proper divisors (85293182407968).

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

42362368888032 is a wasteful number, since it uses less digits than its factorization.

42362368888032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64310 (or 64299 counting only the distinct ones).

The product of its (nonzero) digits is 127401984, while the sum is 63.

The spelling of 42362368888032 in words is "forty-two trillion, three hundred sixty-two billion, three hundred sixty-eight million, eight hundred eighty-eight thousand, thirty-two".