1004323320000 has 2240 divisors, whose sum is σ = 4959032601600. Its totient is φ = 192430080000.

The previous prime is 1004323319903. The next prime is 1004323320023. The reversal of 1004323320000 is 233234001.

1004323320000 is a `hidden beast` number, since 1 + 0 + 0 + 432 + 33 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1081079536 + ... + 1081080464.

It is an arithmetic number, because the mean of its divisors is an integer number (2213853840).

Almost surely, 2^{1004323320000} is an apocalyptic number.

1004323320000 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 1004323320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479516300800).

1004323320000 is an abundant number, since it is smaller than the sum of its proper divisors (3954709281600).

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

1004323320000 is a wasteful number, since it uses less digits than its factorization.

1004323320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 1004323320000 its reverse (233234001), we get a palindrome (1004556554001).

The spelling of 1004323320000 in words is "one trillion, four billion, three hundred twenty-three million, three hundred twenty thousand".