4024240000 has 320 divisors, whose sum is σ = 11614719600. Its totient is φ = 1372160000.

The previous prime is 4024239971. The next prime is 4024240001. The reversal of 4024240000 is 424204.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4024240001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14959866 + ... + 14960134.

Almost surely, 2^4024240000 is an apocalyptic number.

4024240000 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 4024240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5807359800).

4024240000 is an abundant number, since it is smaller than the sum of its proper divisors (7590479600).

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

4024240000 is a wasteful number, since it uses less digits than its factorization.

4024240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 4024240000 is about 63436.8977803928. The cubic root of 4024240000 is about 1590.6011465809.

Adding to 4024240000 its reverse (424204), we get a palindrome (4024664204).

The spelling of 4024240000 in words is "four billion, twenty-four million, two hundred forty thousand".