1188249089040 has 400 divisors, whose sum is σ = 4494389684400. Its totient is φ = 289203830784.

The previous prime is 1188249089039. The next prime is 1188249089057. The reversal of 1188249089040 is 409809428811.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 634641662736 + 553607426304 = 796644^2 + 744048^2 .

It is a super-3 number, since 3×1188249089040³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7418116 + ... + 7576604.

It is an arithmetic number, because the mean of its divisors is an integer number (11235974211).

Almost surely, 2^{1188249089040} is an apocalyptic number.

1188249089040 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 1188249089040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2247194842200).

1188249089040 is an abundant number, since it is smaller than the sum of its proper divisors (3306140595360).

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

1188249089040 is a wasteful number, since it uses less digits than its factorization.

1188249089040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158616 (or 158601 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 1188249089040 in words is "one trillion, one hundred eighty-eight billion, two hundred forty-nine million, eighty-nine thousand, forty".