1189101574140 has 384 divisors, whose sum is σ = 3686524047360. Its totient is φ = 285169876992.

The previous prime is 1189101574139. The next prime is 1189101574147. The reversal of 1189101574140 is 414751019811.

It is a junction number, because it is equal to n+sod(n) for n = 1189101574092 and 1189101574101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1189101574147) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 391536702 + ... + 391539738.

It is an arithmetic number, because the mean of its divisors is an integer number (9600323040).

Almost surely, 2^{1189101574140} is an apocalyptic number.

1189101574140 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 1189101574140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843262023680).

1189101574140 is an abundant number, since it is smaller than the sum of its proper divisors (2497422473220).

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

1189101574140 is a wasteful number, since it uses less digits than its factorization.

1189101574140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3301 (or 3299 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 42.

The spelling of 1189101574140 in words is "one trillion, one hundred eighty-nine billion, one hundred one million, five hundred seventy-four thousand, one hundred forty".