42810401824 has 48 divisors (see below), whose sum is σ = 87488190720. Its totient is φ = 20598900480.

The previous prime is 42810401773. The next prime is 42810401831.

42810401824 is nontrivially palindromic in base 10.

42810401824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42810401824.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57022 + ... + 298114.

It is an arithmetic number, because the mean of its divisors is an integer number (1822670640).

Almost surely, 2^42810401824 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 42810401824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43744095360).

42810401824 is an abundant number, since it is smaller than the sum of its proper divisors (44677788896).

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

42810401824 is a wasteful number, since it uses less digits than its factorization.

42810401824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241313 (or 241305 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

The spelling of 42810401824 in words is "forty-two billion, eight hundred ten million, four hundred one thousand, eight hundred twenty-four".