8040241440 has 720 divisors, whose sum is σ = 36040080384. Its totient is φ = 1669248000.

The previous prime is 8040241403. The next prime is 8040241463. The reversal of 8040241440 is 441420408.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (27) 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 (27).

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 119 ways as a sum of consecutive naturals, for example, 6984865 + ... + 6986015.

Almost surely, 2^8040241440 is an apocalyptic number.

8040241440 is a gapful number since it is divisible by the number (80) 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 8040241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18020040192).

8040241440 is an abundant number, since it is smaller than the sum of its proper divisors (27999838944).

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

8040241440 is a wasteful number, since it uses less digits than its factorization.

8040241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 8040241440 is about 89667.3934047377. The cubic root of 8040241440 is about 2003.3478461694.

Adding to 8040241440 its reverse (441420408), we get a palindrome (8481661848).

The spelling of 8040241440 in words is "eight billion, forty million, two hundred forty-one thousand, four hundred forty".