4026240000 has 440 divisors, whose sum is σ = 14963897520. Its totient is φ = 1069056000.

The previous prime is 4026239983. The next prime is 4026240079. The reversal of 4026240000 is 426204.

4026240000 is a `hidden beast` number, since 4 + 0 + 262 + 400 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

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, 17279884 + ... + 17280116.

It is an arithmetic number, because the mean of its divisors is an integer number (34008858).

Almost surely, 2^4026240000 is an apocalyptic number.

4026240000 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 4026240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7481948760).

4026240000 is an abundant number, since it is smaller than the sum of its proper divisors (10937657520).

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

4026240000 is an equidigital number, since it uses as much as digits as its factorization.

4026240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4026240000 is about 63452.6595187310. The cubic root of 4026240000 is about 1590.8646063010.

Adding to 4026240000 its reverse (426204), we get a palindrome (4026666204).

The spelling of 4026240000 in words is "four billion, twenty-six million, two hundred forty thousand".