1166407141770 has 384 divisors, whose sum is σ = 3742088523264. Its totient is φ = 258474737664.

The previous prime is 1166407141759. The next prime is 1166407141771. The reversal of 1166407141770 is 771417046611.

1166407141770 is a `hidden beast` number, since 1 + 1 + 66 + 40 + 71 + 417 + 70 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1166407141771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12304474 + ... + 12398906.

It is an arithmetic number, because the mean of its divisors is an integer number (9745022196).

Almost surely, 2^{1166407141770} is an apocalyptic number.

1166407141770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1166407141770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1871044261632).

1166407141770 is an abundant number, since it is smaller than the sum of its proper divisors (2575681381494).

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

1166407141770 is a wasteful number, since it uses less digits than its factorization.

1166407141770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94508 (or 94496 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 1166407141770 in words is "one trillion, one hundred sixty-six billion, four hundred seven million, one hundred forty-one thousand, seven hundred seventy".