1130003314440 has 1024 divisors, whose sum is σ = 4741802311680. Its totient is φ = 207857664000.

The previous prime is 1130003314367. The next prime is 1130003314501. The reversal of 1130003314440 is 444133000311.

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 1130003314440.

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 255 ways as a sum of consecutive naturals, for example, 315553450 + ... + 315557030.

It is an arithmetic number, because the mean of its divisors is an integer number (4630666320).

Almost surely, 2^{1130003314440} is an apocalyptic number.

1130003314440 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 1130003314440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2370901155840).

1130003314440 is an abundant number, since it is smaller than the sum of its proper divisors (3611798997240).

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

1130003314440 is a wasteful number, since it uses less digits than its factorization.

1130003314440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3734 (or 3730 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1130003314440 its reverse (444133000311), we get a palindrome (1574136314751).

The spelling of 1130003314440 in words is "one trillion, one hundred thirty billion, three million, three hundred fourteen thousand, four hundred forty".