1130311322400 has 288 divisors, whose sum is σ = 4170713682240. Its totient is φ = 263586631680.

The previous prime is 1130311322369. The next prime is 1130311322411. The reversal of 1130311322400 is 42231130311.

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 47 ways as a sum of consecutive naturals, for example, 360567 + ... + 1546166.

It is an arithmetic number, because the mean of its divisors is an integer number (14481644730).

Almost surely, 2^{1130311322400} is an apocalyptic number.

1130311322400 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 1130311322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085356841120).

1130311322400 is an abundant number, since it is smaller than the sum of its proper divisors (3040402359840).

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

1130311322400 is a wasteful number, since it uses less digits than its factorization.

1130311322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906788 (or 1906775 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1130311322400 its reverse (42231130311), we get a palindrome (1172542452711).

The spelling of 1130311322400 in words is "one trillion, one hundred thirty billion, three hundred eleven million, three hundred twenty-two thousand, four hundred".