1166994978240 has 896 divisors, whose sum is σ = 4623175968768. Its totient is φ = 242854133760.

The previous prime is 1166994978217. The next prime is 1166994978271. The reversal of 1166994978240 is 428794996611.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3363097747 + ... + 3363098093.

It is an arithmetic number, because the mean of its divisors is an integer number (5159794608).

Almost surely, 2^{1166994978240} is an apocalyptic number.

1166994978240 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 1166994978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2311587984384).

1166994978240 is an abundant number, since it is smaller than the sum of its proper divisors (3456180990528).

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

1166994978240 is a wasteful number, since it uses less digits than its factorization.

1166994978240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 66.

The spelling of 1166994978240 in words is "one trillion, one hundred sixty-six billion, nine hundred ninety-four million, nine hundred seventy-eight thousand, two hundred forty".