1164007414800 has 180 divisors, whose sum is σ = 4277042764020. Its totient is φ = 292143022080.

The previous prime is 1164007414771. The next prime is 1164007414807. The reversal of 1164007414800 is 84147004611.

1164007414800 is a `hidden beast` number, since 1 + 1 + 640 + 0 + 7 + 4 + 1 + 4 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 154392413184 + 1009615001616 = 392928^2 + 1004796^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (1164007414807) 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 35 ways as a sum of consecutive naturals, for example, 9448665 + ... + 9571064.

It is an arithmetic number, because the mean of its divisors is an integer number (23761348689).

Almost surely, 2^{1164007414800} is an apocalyptic number.

1164007414800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1164007414800 is an abundant number, since it is smaller than the sum of its proper divisors (3113035349220).

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

1164007414800 is a wasteful number, since it uses less digits than its factorization.

1164007414800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19019770 (or 19019756 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 1164007414800 in words is "one trillion, one hundred sixty-four billion, seven million, four hundred fourteen thousand, eight hundred".