1188463242240 has 1408 divisors, whose sum is σ = 4708741939200. Its totient is φ = 282912030720.

The previous prime is 1188463242209. The next prime is 1188463242319. The reversal of 1188463242240 is 422423648811.

1188463242240 is a `hidden beast` number, since 1 + 1 + 8 + 8 + 4 + 632 + 4 + 2 + 2 + 4 + 0 = 666.

It is a super-2 number, since 2×1188463242240² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6222320545 + ... + 6222320735.

Almost surely, 2^{1188463242240} is an apocalyptic number.

1188463242240 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 1188463242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354370969600).

1188463242240 is an abundant number, since it is smaller than the sum of its proper divisors (3520278696960).

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

1188463242240 is a wasteful number, since it uses less digits than its factorization.

1188463242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 1188463242240 in words is "one trillion, one hundred eighty-eight billion, four hundred sixty-three million, two hundred forty-two thousand, two hundred forty".