42284065824 has 960 divisors, whose sum is σ = 171301616640. Its totient is φ = 9876142080.

The previous prime is 42284065801. The next prime is 42284065871. The reversal of 42284065824 is 42856048224.

42284065824 is a `hidden beast` number, since 4 + 2 + 28 + 40 + 6 + 582 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 42284065824.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 111567267 + ... + 111567645.

It is an arithmetic number, because the mean of its divisors is an integer number (178439184).

Almost surely, 2^42284065824 is an apocalyptic number.

42284065824 is a gapful number since it is divisible by the number (44) 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 42284065824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85650808320).

42284065824 is an abundant number, since it is smaller than the sum of its proper divisors (129017550816).

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

42284065824 is a wasteful number, since it uses less digits than its factorization.

42284065824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The spelling of 42284065824 in words is "forty-two billion, two hundred eighty-four million, sixty-five thousand, eight hundred twenty-four".