42438672384 has 240 divisors, whose sum is σ = 123308774400. Its totient is φ = 12931301376.

The previous prime is 42438672383. The next prime is 42438672427. The reversal of 42438672384 is 48327683424.

It is not an unprimeable number, because it can be changed into a prime (42438672383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27081969 + ... + 27083535.

It is an arithmetic number, because the mean of its divisors is an integer number (513786560).

Almost surely, 2^42438672384 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 42438672384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61654387200).

42438672384 is an abundant number, since it is smaller than the sum of its proper divisors (80870102016).

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

42438672384 is a wasteful number, since it uses less digits than its factorization.

42438672384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 1620 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 51.

The spelling of 42438672384 in words is "forty-two billion, four hundred thirty-eight million, six hundred seventy-two thousand, three hundred eighty-four".