4242524000 has 192 divisors, whose sum is σ = 12247889472. Its totient is φ = 1423872000.

The previous prime is 4242523993. The next prime is 4242524021. The reversal of 4242524000 is 4252424.

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, 568292 + ... + 575708.

It is an arithmetic number, because the mean of its divisors is an integer number (63791091).

Almost surely, 2^4242524000 is an apocalyptic number.

4242524000 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 4242524000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6123944736).

4242524000 is an abundant number, since it is smaller than the sum of its proper divisors (8005365472).

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

4242524000 is a wasteful number, since it uses less digits than its factorization.

4242524000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7466 (or 7448 counting only the distinct ones).

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

The square root of 4242524000 is about 65134.6605118964. The cubic root of 4242524000 is about 1618.8555652348.

Adding to 4242524000 its reverse (4252424), we get a palindrome (4246776424).

The spelling of 4242524000 in words is "four billion, two hundred forty-two million, five hundred twenty-four thousand".