1130310430344 has 128 divisors (see below), whose sum is σ = 3256505856000. Its totient is φ = 362827487232.

The previous prime is 1130310430343. The next prime is 1130310430351. The reversal of 1130310430344 is 4430340130311.

1130310430344 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 310 + 4 + 3 + 0 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1130310430343) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2163544 + ... + 2634680.

It is an arithmetic number, because the mean of its divisors is an integer number (25441452000).

Almost surely, 2^{1130310430344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130310430344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628252928000).

1130310430344 is an abundant number, since it is smaller than the sum of its proper divisors (2126195425656).

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

1130310430344 is a wasteful number, since it uses less digits than its factorization.

1130310430344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471564 (or 471554 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1130310430344 its reverse (4430340130311), we get a palindrome (5560650560655).

The spelling of 1130310430344 in words is "one trillion, one hundred thirty billion, three hundred ten million, four hundred thirty thousand, three hundred forty-four".