1181599767040 has 640 divisors, whose sum is σ = 3657108787200. Its totient is φ = 362892902400.

The previous prime is 1181599767017. The next prime is 1181599767077. The reversal of 1181599767040 is 407679951811.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 685779619 + ... + 685781341.

It is an arithmetic number, because the mean of its divisors is an integer number (5714232480).

Almost surely, 2^{1181599767040} is an apocalyptic number.

1181599767040 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 1181599767040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828554393600).

1181599767040 is an abundant number, since it is smaller than the sum of its proper divisors (2475509020160).

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

1181599767040 is an equidigital number, since it uses as much as digits as its factorization.

1181599767040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1849 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 58.

The spelling of 1181599767040 in words is "one trillion, one hundred eighty-one billion, five hundred ninety-nine million, seven hundred sixty-seven thousand, forty".