1191689634240 has 896 divisors, whose sum is σ = 4913426718720. Its totient is φ = 266255548416.

The previous prime is 1191689634227. The next prime is 1191689634257. The reversal of 1191689634240 is 424369861911.

1191689634240 is a `hidden beast` number, since 1 + 19 + 168 + 96 + 342 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1176395974 + ... + 1176396986.

Almost surely, 2^{1191689634240} is an apocalyptic number.

1191689634240 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 1191689634240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2456713359360).

1191689634240 is an abundant number, since it is smaller than the sum of its proper divisors (3721737084480).

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

1191689634240 is a wasteful number, since it uses less digits than its factorization.

1191689634240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 1191689634240 in words is "one trillion, one hundred ninety-one billion, six hundred eighty-nine million, six hundred thirty-four thousand, two hundred forty".