1130389344000 has 1728 divisors, whose sum is σ = 5079069864960. Its totient is φ = 244552089600.

The previous prime is 1130389343969. The next prime is 1130389344017. The reversal of 1130389344000 is 4439830311.

1130389344000 is a `hidden beast` number, since 1 + 1 + 303 + 8 + 9 + 344 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-3 number, since 3×1130389344000³ (a number of 37 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1034207454 + ... + 1034208546.

Almost surely, 2^{1130389344000} is an apocalyptic number.

1130389344000 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 1130389344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2539534932480).

1130389344000 is an abundant number, since it is smaller than the sum of its proper divisors (3948680520960).

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

1130389344000 is an equidigital number, since it uses as much as digits as its factorization.

1130389344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 1130389344000 in words is "one trillion, one hundred thirty billion, three hundred eighty-nine million, three hundred forty-four thousand".