1189864041600 has 1152 divisors, whose sum is σ = 4494565454400. Its totient is φ = 274947932160.

The previous prime is 1189864041581. The next prime is 1189864041643. The reversal of 1189864041600 is 61404689811.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1189864041600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4423286266 + ... + 4423286534.

Almost surely, 2^{1189864041600} is an apocalyptic number.

1189864041600 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 1189864041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2247282727200).

1189864041600 is an abundant number, since it is smaller than the sum of its proper divisors (3304701412800).

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

1189864041600 is a wasteful number, since it uses less digits than its factorization.

1189864041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The spelling of 1189864041600 in words is "one trillion, one hundred eighty-nine billion, eight hundred sixty-four million, forty-one thousand, six hundred".