4042544000 has 256 divisors, whose sum is σ = 11120578560. Its totient is φ = 1449216000.

The previous prime is 4042543927. The next prime is 4042544047. The reversal of 4042544000 is 4452404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18127889 + ... + 18128111.

It is an arithmetic number, because the mean of its divisors is an integer number (43439760).

Almost surely, 2^4042544000 is an apocalyptic number.

4042544000 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 4042544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5560289280).

4042544000 is an abundant number, since it is smaller than the sum of its proper divisors (7078034560).

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

4042544000 is a wasteful number, since it uses less digits than its factorization.

4042544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 23.

The square root of 4042544000 is about 63581.0034522891. The cubic root of 4042544000 is about 1593.0090822392.

Adding to 4042544000 its reverse (4452404), we get a palindrome (4046996404).

The spelling of 4042544000 in words is "four billion, forty-two million, five hundred forty-four thousand".