1140816813120 has 448 divisors, whose sum is σ = 4365243187200. Its totient is φ = 279337697280.

The previous prime is 1140816813119. The next prime is 1140816813133. The reversal of 1140816813120 is 213186180411.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5927361 + ... + 6116799.

It is an arithmetic number, because the mean of its divisors is an integer number (9743846400).

Almost surely, 2^{1140816813120} is an apocalyptic number.

1140816813120 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 1140816813120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2182621593600).

1140816813120 is an abundant number, since it is smaller than the sum of its proper divisors (3224426374080).

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

1140816813120 is a wasteful number, since it uses less digits than its factorization.

1140816813120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189523 (or 189507 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 1140816813120 in words is "one trillion, one hundred forty billion, eight hundred sixteen million, eight hundred thirteen thousand, one hundred twenty".