42210854784 has 480 divisors, whose sum is σ = 153854137800. Its totient is φ = 11422881792.

The previous prime is 42210854783. The next prime is 42210854789. The reversal of 42210854784 is 48745801224.

42210854784 is a `hidden beast` number, since 4 + 2 + 21 + 0 + 8 + 547 + 84 = 666.

42210854784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42210854783) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9650422 + ... + 9654794.

Almost surely, 2^42210854784 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 42210854784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76927068900).

42210854784 is an abundant number, since it is smaller than the sum of its proper divisors (111643283016).

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

42210854784 is a wasteful number, since it uses less digits than its factorization.

42210854784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4432 (or 4404 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 42210854784 in words is "forty-two billion, two hundred ten million, eight hundred fifty-four thousand, seven hundred eighty-four".