4242336000 has 576 divisors, whose sum is σ = 16529909760. Its totient is φ = 944332800.

The previous prime is 4242335989. The next prime is 4242336013. The reversal of 4242336000 is 6332424.

It is a happy number.

4242336000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39647947 + ... + 39648053.

It is an arithmetic number, because the mean of its divisors is an integer number (28697760).

Almost surely, 2^4242336000 is an apocalyptic number.

4242336000 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 4242336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8264954880).

4242336000 is an abundant number, since it is smaller than the sum of its proper divisors (12287573760).

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

4242336000 is a wasteful number, since it uses less digits than its factorization.

4242336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 4242336000 is about 65133.2173318653. The cubic root of 4242336000 is about 1618.8316526345.

Adding to 4242336000 its reverse (6332424), we get a palindrome (4248668424).

The spelling of 4242336000 in words is "four billion, two hundred forty-two million, three hundred thirty-six thousand".