1163331318240 has 1344 divisors, whose sum is σ = 5117451042816. Its totient is φ = 243235270656.

The previous prime is 1163331318203. The next prime is 1163331318241. The reversal of 1163331318240 is 428131333611.

1163331318240 is a `hidden beast` number, since 1 + 1 + 6 + 3 + 331 + 318 + 2 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1163331318195 and 1163331318204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1163331318241) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1348008049 + ... + 1348008911.

It is an arithmetic number, because the mean of its divisors is an integer number (3807627264).

Almost surely, 2^{1163331318240} is an apocalyptic number.

1163331318240 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 1163331318240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2558725521408).

1163331318240 is an abundant number, since it is smaller than the sum of its proper divisors (3954119724576).

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

1163331318240 is a wasteful number, since it uses less digits than its factorization.

1163331318240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1020 counting only the distinct ones).

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

The spelling of 1163331318240 in words is "one trillion, one hundred sixty-three billion, three hundred thirty-one million, three hundred eighteen thousand, two hundred forty".