1130142144400 has 240 divisors, whose sum is σ = 2848582054080. Its totient is φ = 430548940800.

The previous prime is 1130142144389. The next prime is 1130142144403. The reversal of 1130142144400 is 44412410311.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1130142144403) 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 47 ways as a sum of consecutive naturals, for example, 96447342 + ... + 96459058.

It is an arithmetic number, because the mean of its divisors is an integer number (11869091892).

Almost surely, 2^{1130142144400} is an apocalyptic number.

1130142144400 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 1130142144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424291027040).

1130142144400 is an abundant number, since it is smaller than the sum of its proper divisors (1718439909680).

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

1130142144400 is a wasteful number, since it uses less digits than its factorization.

1130142144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11922 (or 11911 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 1130142144400 its reverse (44412410311), we get a palindrome (1174554554711).

The spelling of 1130142144400 in words is "one trillion, one hundred thirty billion, one hundred forty-two million, one hundred forty-four thousand, four hundred".