1130241114240 has 256 divisors, whose sum is σ = 4121871114240. Its totient is φ = 258054451200.

The previous prime is 1130241114239. The next prime is 1130241114257. The reversal of 1130241114240 is 424111420311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1130241114240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12197685 + ... + 12289995.

It is an arithmetic number, because the mean of its divisors is an integer number (16101059040).

Almost surely, 2^{1130241114240} is an apocalyptic number.

1130241114240 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 1130241114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2060935557120).

1130241114240 is an abundant number, since it is smaller than the sum of its proper divisors (2991630000000).

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

1130241114240 is an equidigital number, since it uses as much as digits as its factorization.

1130241114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93251 (or 93239 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1130241114240 its reverse (424111420311), we get a palindrome (1554352534551).

The spelling of 1130241114240 in words is "one trillion, one hundred thirty billion, two hundred forty-one million, one hundred fourteen thousand, two hundred forty".