1164335040000 has 800 divisors, whose sum is σ = 4698669444480. Its totient is φ = 282240000000.

The previous prime is 1164335039983. The next prime is 1164335040013. The reversal of 1164335040000 is 405334611.

1164335040000 is a `hidden beast` number, since 11 + 643 + 3 + 5 + 0 + 4 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 95033875 + ... + 95046125.

Almost surely, 2^{1164335040000} is an apocalyptic number.

1164335040000 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 1164335040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2349334722240).

1164335040000 is an abundant number, since it is smaller than the sum of its proper divisors (3534334404480).

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

1164335040000 is an equidigital number, since it uses as much as digits as its factorization.

1164335040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12309 (or 12272 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 1164335040000 in words is "one trillion, one hundred sixty-four billion, three hundred thirty-five million, forty thousand".