1181040000 has 640 divisors, whose sum is σ = 4843449600. Its totient is φ = 248832000.

The previous prime is 1181039987. The next prime is 1181040079. The reversal of 1181040000 is 401811.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31919982 + ... + 31920018.

It is an arithmetic number, because the mean of its divisors is an integer number (7567890).

Almost surely, 2^1181040000 is an apocalyptic number.

1181040000 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 1181040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2421724800).

1181040000 is an abundant number, since it is smaller than the sum of its proper divisors (3662409600).

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

1181040000 is an equidigital number, since it uses as much as digits as its factorization.

1181040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 1181040000 is about 34366.2625259134. The cubic root of 1181040000 is about 1057.0321634418.

Adding to 1181040000 its reverse (401811), we get a palindrome (1181441811).

The spelling of 1181040000 in words is "one billion, one hundred eighty-one million, forty thousand".