1189488038400 has 720 divisors, whose sum is σ = 4495051360800. Its totient is φ = 299553914880.

The previous prime is 1189488038383. The next prime is 1189488038407. The reversal of 1189488038400 is 48308849811.

1189488038400 is a `hidden beast` number, since 1 + 1 + 89 + 488 + 0 + 3 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is not an unprimeable number, because it can be changed into a prime (1189488038407) 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 71 ways as a sum of consecutive naturals, for example, 917106552 + ... + 917107848.

It is an arithmetic number, because the mean of its divisors is an integer number (6243126890).

Almost surely, 2^{1189488038400} is an apocalyptic number.

1189488038400 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 1189488038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2247525680400).

1189488038400 is an abundant number, since it is smaller than the sum of its proper divisors (3305563322400).

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

1189488038400 is a wasteful number, since it uses less digits than its factorization.

1189488038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 1189488038400 in words is "one trillion, one hundred eighty-nine billion, four hundred eighty-eight million, thirty-eight thousand, four hundred".