42384264816 has 80 divisors (see below), whose sum is σ = 116004637728. Its totient is φ = 13288857600.

The previous prime is 42384264809. The next prime is 42384264847. The reversal of 42384264816 is 61846248324.

42384264816 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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1389246 + ... + 1419426.

Almost surely, 2^42384264816 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 42384264816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58002318864).

42384264816 is an abundant number, since it is smaller than the sum of its proper divisors (73620372912).

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

42384264816 is a wasteful number, since it uses less digits than its factorization.

42384264816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31930 (or 31924 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 48.

The spelling of 42384264816 in words is "forty-two billion, three hundred eighty-four million, two hundred sixty-four thousand, eight hundred sixteen".