1142200330240 has 192 divisors, whose sum is σ = 2972618747280. Its totient is φ = 419514286080.

The previous prime is 1142200330151. The next prime is 1142200330247. The reversal of 1142200330240 is 420330022411.

It can be written as a sum of positive squares in 8 ways, for example, as 63859311616 + 1078341018624 = 252704^2 + 1038432^2 .

It is not an unprimeable number, because it can be changed into a prime (1142200330247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7057264 + ... + 7217296.

Almost surely, 2^{1142200330240} is an apocalyptic number.

1142200330240 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 1142200330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486309373640).

1142200330240 is an abundant number, since it is smaller than the sum of its proper divisors (1830418417040).

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

1142200330240 is a wasteful number, since it uses less digits than its factorization.

1142200330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160118 (or 160098 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 1142200330240 its reverse (420330022411), we get a palindrome (1562530352651).

The spelling of 1142200330240 in words is "one trillion, one hundred forty-two billion, two hundred million, three hundred thirty thousand, two hundred forty".