1188984640000 has 400 divisors, whose sum is σ = 3075285287448. Its totient is φ = 458735616000.

The previous prime is 1188984639989. The next prime is 1188984640003. The reversal of 1188984640000 is 464898811.

It can be written as a sum of positive squares in 20 ways, for example, as 8823972096 + 1180160667904 = 93936^2 + 1086352^2 .

It is a tau number, because it is divible by the number of its divisors (400).

It is not an unprimeable number, because it can be changed into a prime (1188984640003) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1622079634 + ... + 1622080366.

Almost surely, 2^{1188984640000} is an apocalyptic number.

1188984640000 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 1188984640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537642643724).

1188984640000 is an abundant number, since it is smaller than the sum of its proper divisors (1886300647448).

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

1188984640000 is an frugal number, since it uses more digits than its factorization.

1188984640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 49.

The spelling of 1188984640000 in words is "one trillion, one hundred eighty-eight billion, nine hundred eighty-four million, six hundred forty thousand".