42781081824 has 360 divisors, whose sum is σ = 137492087040. Its totient is φ = 13042778112.

The previous prime is 42781081823. The next prime is 42781081829. The reversal of 42781081824 is 42818018724.

42781081824 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 42781081824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42781081823) 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, 55631712 + ... + 55632480.

It is an arithmetic number, because the mean of its divisors is an integer number (381922464).

Almost surely, 2^42781081824 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 42781081824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68746043520).

42781081824 is an abundant number, since it is smaller than the sum of its proper divisors (94711005216).

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

42781081824 is a wasteful number, since it uses less digits than its factorization.

42781081824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 42781081824 in words is "forty-two billion, seven hundred eighty-one million, eighty-one thousand, eight hundred twenty-four".