42834643824 has 160 divisors (see below), whose sum is σ = 130728775680. Its totient is φ = 11826892800.

The previous prime is 42834643823. The next prime is 42834643829.

42834643824 is nontrivially palindromic in base 10.

42834643824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42834643823) 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, 8549032 + ... + 8554040.

It is an arithmetic number, because the mean of its divisors is an integer number (817054848).

Almost surely, 2^42834643824 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 42834643824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65364387840).

42834643824 is an abundant number, since it is smaller than the sum of its proper divisors (87894131856).

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

42834643824 is a wasteful number, since it uses less digits than its factorization.

42834643824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5879 (or 5873 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 48.

The spelling of 42834643824 in words is "forty-two billion, eight hundred thirty-four million, six hundred forty-three thousand, eight hundred twenty-four".