1146119040000 has 660 divisors, whose sum is σ = 4511615102280. Its totient is φ = 277831680000.

The previous prime is 1146119039999. The next prime is 1146119040013. The reversal of 1146119040000 is 409116411.

1146119040000 is a `hidden beast` number, since 1 + 1 + 4 + 611 + 9 + 0 + 40 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (660).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 63350956 + ... + 63369044.

It is an arithmetic number, because the mean of its divisors is an integer number (6835780458).

Almost surely, 2^{1146119040000} is an apocalyptic number.

1146119040000 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 1146119040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2255807551140).

1146119040000 is an abundant number, since it is smaller than the sum of its proper divisors (3365496062280).

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

1146119040000 is a wasteful number, since it uses less digits than its factorization.

1146119040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18146 (or 18110 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 1146119040000 in words is "one trillion, one hundred forty-six billion, one hundred nineteen million, forty thousand".