1005240504240 has 960 divisors, whose sum is σ = 4374851420160. Its totient is φ = 201481758720.

The previous prime is 1005240504139. The next prime is 1005240504253. The reversal of 1005240504240 is 424050425001.

1005240504240 is a `hidden beast` number, since 10 + 0 + 5 + 2 + 405 + 0 + 4 + 240 = 666.

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 191 ways as a sum of consecutive naturals, for example, 68269519 + ... + 68284241.

It is an arithmetic number, because the mean of its divisors is an integer number (4557136896).

Almost surely, 2^{1005240504240} is an apocalyptic number.

1005240504240 is a gapful number since it is divisible by the number (10) 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 1005240504240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187425710080).

1005240504240 is an abundant number, since it is smaller than the sum of its proper divisors (3369610915920).

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

1005240504240 is a wasteful number, since it uses less digits than its factorization.

1005240504240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14822 (or 14813 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 1005240504240 its reverse (424050425001), we get a palindrome (1429290929241).

The spelling of 1005240504240 in words is "one trillion, five billion, two hundred forty million, five hundred four thousand, two hundred forty".