42623328384 has 512 divisors, whose sum is σ = 155681702400. Its totient is φ = 11179524096.

The previous prime is 42623328383. The next prime is 42623328401. The reversal of 42623328384 is 48382332624.

42623328384 is a `hidden beast` number, since 4 + 262 + 3 + 3 + 2 + 8 + 384 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (42623328383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98437032 + ... + 98437464.

It is an arithmetic number, because the mean of its divisors is an integer number (304065825).

Almost surely, 2^42623328384 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 42623328384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77840851200).

42623328384 is an abundant number, since it is smaller than the sum of its proper divisors (113058374016).

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

42623328384 is a wasteful number, since it uses less digits than its factorization.

42623328384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 771 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 45.

The spelling of 42623328384 in words is "forty-two billion, six hundred twenty-three million, three hundred twenty-eight thousand, three hundred eighty-four".