1164800102400 has 936 divisors, whose sum is σ = 4606045685280. Its totient is φ = 278986752000.

The previous prime is 1164800102383. The next prime is 1164800102449. The reversal of 1164800102400 is 42010084611.

It is a happy number.

1164800102400 is a `hidden beast` number, since 1 + 1 + 648 + 0 + 0 + 10 + 2 + 4 + 0 + 0 = 666.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 902245755 + ... + 902247045.

It is an arithmetic number, because the mean of its divisors is an integer number (4920988980).

Almost surely, 2^{1164800102400} is an apocalyptic number.

1164800102400 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 1164800102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2303022842640).

1164800102400 is an abundant number, since it is smaller than the sum of its proper divisors (3441245582880).

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

1164800102400 is a wasteful number, since it uses less digits than its factorization.

1164800102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 1164800102400 in words is "one trillion, one hundred sixty-four billion, eight hundred million, one hundred two thousand, four hundred".