1166441472 has 440 divisors, whose sum is σ = 4161141600. Its totient is φ = 325140480.

The previous prime is 1166441467. The next prime is 1166441477. The reversal of 1166441472 is 2741446611.

It is a happy number.

1166441472 is a `hidden beast` number, since 1 + 1 + 6 + 644 + 1 + 4 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1166441467) and next prime (1166441477).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1166441477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28449772 + ... + 28449812.

It is an arithmetic number, because the mean of its divisors is an integer number (9457140).

Almost surely, 2^1166441472 is an apocalyptic number.

1166441472 is a gapful number since it is divisible by the number (12) 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 1166441472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2080570800).

1166441472 is an abundant number, since it is smaller than the sum of its proper divisors (2994700128).

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

1166441472 is an frugal number, since it uses more digits than its factorization.

1166441472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 53 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 1166441472 is about 34153.2058817324. The cubic root of 1166441472 is about 1052.6588614178.

The spelling of 1166441472 in words is "one billion, one hundred sixty-six million, four hundred forty-one thousand, four hundred seventy-two".