4240008000 has 168 divisors, whose sum is σ = 15167472840. Its totient is φ = 1130649600.

The previous prime is 4240007999. The next prime is 4240008049. The reversal of 4240008000 is 8000424.

It is a happy number.

4240008000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 529736256 + 3710271744 = 23016^2 + 60912^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42556 + ... + 101444.

Almost surely, 2^4240008000 is an apocalyptic number.

4240008000 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 4240008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7583736420).

4240008000 is an abundant number, since it is smaller than the sum of its proper divisors (10927464840).

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

4240008000 is a wasteful number, since it uses less digits than its factorization.

4240008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58922 (or 58899 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4240008000 is about 65115.3438138815. The cubic root of 4240008000 is about 1618.5354848589.

Adding to 4240008000 its reverse (8000424), we get a palindrome (4248008424).

The spelling of 4240008000 in words is "four billion, two hundred forty million, eight thousand".