42944000 has 160 divisors (see below), whose sum is σ = 118733472. Its totient is φ = 15360000.

The previous prime is 42943993. The next prime is 42944003. The reversal of 42944000 is 44924.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42944003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 703970 + ... + 704030.

Almost surely, 2^42944000 is an apocalyptic number.

42944000 is a gapful number since it is divisible by the number (40) 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 42944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59366736).

42944000 is an abundant number, since it is smaller than the sum of its proper divisors (75789472).

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

42944000 is an equidigital number, since it uses as much as digits as its factorization.

42944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 42944000 is about 6553.1671732072. The cubic root of 42944000 is about 350.1876544721.

Adding to 42944000 its reverse (44924), we get a palindrome (42988924).

The spelling of 42944000 in words is "forty-two million, nine hundred forty-four thousand".