42544000 has 64 divisors (see below), whose sum is σ = 105814800. Its totient is φ = 17011200.

The previous prime is 42543967. The next prime is 42544027. The reversal of 42544000 is 44524.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14671 + ... + 17329.

Almost surely, 2^42544000 is an apocalyptic number.

42544000 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 42544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52907400).

42544000 is an abundant number, since it is smaller than the sum of its proper divisors (63270800).

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

42544000 is an equidigital number, since it uses as much as digits as its factorization.

42544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688 (or 2666 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 42544000 is about 6522.5761781676. The cubic root of 42544000 is about 349.0969919500.

Adding to 42544000 its reverse (44524), we get a palindrome (42588524).

The spelling of 42544000 in words is "forty-two million, five hundred forty-four thousand".