1166400000 has 420 divisors, whose sum is σ = 4367450934. Its totient is φ = 311040000.

The previous prime is 1166399963. The next prime is 1166400007. The reversal of 1166400000 is 46611.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1166400000 is a `hidden beast` number, since 1 + 1 + 664 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1679616 + 1164720384 = 1296^2 + 34128^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1166400007) 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 41 ways as a sum of consecutive naturals, for example, 233279998 + ... + 233280002.

Almost surely, 2^1166400000 is an apocalyptic number.

1166400000 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 1166400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2183725467).

1166400000 is an abundant number, since it is smaller than the sum of its proper divisors (3201050934).

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

1166400000 is an frugal number, since it uses more digits than its factorization.

1166400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1166400000 is about 34152.5987298185. The cubic root of 1166400000 is about 1052.6463857566.

Adding to 1166400000 its reverse (46611), we get a palindrome (1166446611).

The spelling of 1166400000 in words is "one billion, one hundred sixty-six million, four hundred thousand".