1002030320000 has 160 divisors (see below), whose sum is σ = 2641230254520. Its totient is φ = 377234432000.

The previous prime is 1002030319963. The next prime is 1002030320033. The reversal of 1002030320000 is 230302001.

It is a tau number, because it is divible by the number of its divisors (160).

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 19 ways as a sum of consecutive naturals, for example, 991607 + ... + 1728393.

Almost surely, 2^{1002030320000} is an apocalyptic number.

1002030320000 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 1002030320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320615127260).

1002030320000 is an abundant number, since it is smaller than the sum of its proper divisors (1639199934520).

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

1002030320000 is an frugal number, since it uses more digits than its factorization.

1002030320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736838 (or 736811 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

Adding to 1002030320000 its reverse (230302001), we get a palindrome (1002260622001).

The spelling of 1002030320000 in words is "one trillion, two billion, thirty million, three hundred twenty thousand".