42854845824 has 256 divisors, whose sum is σ = 145363545600. Its totient is φ = 12175349760.

The previous prime is 42854845793. The next prime is 42854845829.

42854845824 is a `hidden beast` number, since 4 + 2 + 8 + 54 + 8 + 4 + 582 + 4 = 666.

42854845824 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42854845829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4373859 + ... + 4383645.

It is an arithmetic number, because the mean of its divisors is an integer number (567826350).

Almost surely, 2^42854845824 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 42854845824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72681772800).

42854845824 is an abundant number, since it is smaller than the sum of its proper divisors (102508699776).

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

42854845824 is a wasteful number, since it uses less digits than its factorization.

42854845824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9998 (or 9980 counting only the distinct ones).

The product of its digits is 13107200, while the sum is 54.

The spelling of 42854845824 in words is "forty-two billion, eight hundred fifty-four million, eight hundred forty-five thousand, eight hundred twenty-four".