42241036032000 has 2688 divisors, whose sum is σ = 177830868458880. Its totient is φ = 9932577177600.

The previous prime is 42241036031893. The next prime is 42241036032001. The reversal of 42241036032000 is 23063014224.

42241036032000 is a `hidden beast` number, since 4 + 2 + 24 + 10 + 3 + 603 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42241036032001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 55800575622 + ... + 55800576378.

It is an arithmetic number, because the mean of its divisors is an integer number (66157317135).

Almost surely, 2^{42241036032000} is an apocalyptic number.

42241036032000 is a gapful number since it is divisible by the number (40) 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 42241036032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88915434229440).

42241036032000 is an abundant number, since it is smaller than the sum of its proper divisors (135589832426880).

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

42241036032000 is an equidigital number, since it uses as much as digits as its factorization.

42241036032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 42241036032000 its reverse (23063014224), we get a palindrome (42264099046224).

The spelling of 42241036032000 in words is "forty-two trillion, two hundred forty-one billion, thirty-six million, thirty-two thousand".