4042560000 has 200 divisors, whose sum is σ = 13460928624. Its totient is φ = 1077760000.

The previous prime is 4042559977. The next prime is 4042560007. The reversal of 4042560000 is 652404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is not an unprimeable number, because it can be changed into a prime (4042560007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 957895 + ... + 962105.

Almost surely, 2^4042560000 is an apocalyptic number.

4042560000 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 4042560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6730464312).

4042560000 is an abundant number, since it is smaller than the sum of its proper divisors (9418368624).

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

4042560000 is an frugal number, since it uses more digits than its factorization.

4042560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4252 (or 4221 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 4042560000 is about 63581.1292759102. The cubic root of 4042560000 is about 1593.0111838953.

The spelling of 4042560000 in words is "four billion, forty-two million, five hundred sixty thousand".