42444768 has 48 divisors (see below), whose sum is σ = 113097600. Its totient is φ = 13934976.

The previous prime is 42444761. The next prime is 42444791. The reversal of 42444768 is 86744424.

42444768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42444761) 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 7 ways as a sum of consecutive naturals, for example, 3133 + ... + 9731.

It is an arithmetic number, because the mean of its divisors is an integer number (2356200).

Almost surely, 2^42444768 is an apocalyptic number.

42444768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42444768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56548800).

42444768 is an abundant number, since it is smaller than the sum of its proper divisors (70652832).

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

42444768 is a wasteful number, since it uses less digits than its factorization.

42444768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6679 (or 6671 counting only the distinct ones).

The product of its digits is 172032, while the sum is 39.

The square root of 42444768 is about 6514.9649269969. The cubic root of 42444768 is about 348.8253628837.

The spelling of 42444768 in words is "forty-two million, four hundred forty-four thousand, seven hundred sixty-eight".