1130445043200 has 720 divisors, whose sum is σ = 4423138454592. Its totient is φ = 273438720000.

The previous prime is 1130445043171. The next prime is 1130445043207. The reversal of 1130445043200 is 23405440311.

It is a happy number.

1130445043200 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 4 + 450 + 4 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×1130445043200³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130445043207) 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 71 ways as a sum of consecutive naturals, for example, 875634555 + ... + 875635845.

Almost surely, 2^{1130445043200} is an apocalyptic number.

1130445043200 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 1130445043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2211569227296).

1130445043200 is an abundant number, since it is smaller than the sum of its proper divisors (3292693411392).

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

1130445043200 is a wasteful number, since it uses less digits than its factorization.

1130445043200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2027 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 1130445043200 in words is "one trillion, one hundred thirty billion, four hundred forty-five million, forty-three thousand, two hundred".