1140240024 has 256 divisors, whose sum is σ = 3981312000. Its totient is φ = 293742720.

The previous prime is 1140240001. The next prime is 1140240041. The reversal of 1140240024 is 4200420411.

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

It is a junction number, because it is equal to n+sod(n) for n = 1140239979 and 1140240006.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 2976937 + ... + 2977319.

It is an arithmetic number, because the mean of its divisors is an integer number (15552000).

Almost surely, 2^1140240024 is an apocalyptic number.

1140240024 is a gapful number since it is divisible by the number (14) 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 1140240024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990656000).

1140240024 is an abundant number, since it is smaller than the sum of its proper divisors (2841071976).

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

1140240024 is a wasteful number, since it uses less digits than its factorization.

1140240024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 585 counting only the distinct ones).

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

The square root of 1140240024 is about 33767.4402938689. The cubic root of 1140240024 is about 1044.7172373540.

Adding to 1140240024 its reverse (4200420411), we get a palindrome (5340660435).

The spelling of 1140240024 in words is "one billion, one hundred forty million, two hundred forty thousand, twenty-four".