1143210240 has 288 divisors, whose sum is σ = 4272777600. Its totient is φ = 288645120.

The previous prime is 1143210227. The next prime is 1143210253. The reversal of 1143210240 is 420123411.

It is an interprime number because it is at equal distance from previous prime (1143210227) and next prime (1143210253).

It is a tau number, because it is divible by the number of its divisors (288).

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 (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 655770 + ... + 657510.

Almost surely, 2^1143210240 is an apocalyptic number.

1143210240 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 1143210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2136388800).

1143210240 is an abundant number, since it is smaller than the sum of its proper divisors (3129567360).

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

1143210240 is a wasteful number, since it uses less digits than its factorization.

1143210240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1143210240 is about 33811.3921629974. The cubic root of 1143210240 is about 1045.6235802616.

Adding to 1143210240 its reverse (420123411), we get a palindrome (1563333651).

The spelling of 1143210240 in words is "one billion, one hundred forty-three million, two hundred ten thousand, two hundred forty".