1191679074240 has 224 divisors, whose sum is σ = 3917026252800. Its totient is φ = 306758393856.

The previous prime is 1191679074233. The next prime is 1191679074281. The reversal of 1191679074240 is 424709761911.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3112861 + ... + 3474659.

Almost surely, 2^{1191679074240} is an apocalyptic number.

1191679074240 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 1191679074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1958513126400).

1191679074240 is an abundant number, since it is smaller than the sum of its proper divisors (2725347178560).

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

1191679074240 is a wasteful number, since it uses less digits than its factorization.

1191679074240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361939 (or 361929 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 51.

The spelling of 1191679074240 in words is "one trillion, one hundred ninety-one billion, six hundred seventy-nine million, seventy-four thousand, two hundred forty".