10004430320320 has 224 divisors, whose sum is σ = 25198825107456. Its totient is φ = 3777300172800.

The previous prime is 10004430320303. The next prime is 10004430320333. The reversal of 10004430320320 is 2302303440001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10004430320291 and 10004430320300.

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 31 ways as a sum of consecutive naturals, for example, 310092990 + ... + 310125250.

It is an arithmetic number, because the mean of its divisors is an integer number (112494754944).

Almost surely, 2^{10004430320320} is an apocalyptic number.

10004430320320 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 10004430320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12599412553728).

10004430320320 is an abundant number, since it is smaller than the sum of its proper divisors (15194394787136).

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

10004430320320 is a wasteful number, since it uses less digits than its factorization.

10004430320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33079 (or 33069 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 10004430320320 its reverse (2302303440001), we get a palindrome (12306733760321).

The spelling of 10004430320320 in words is "ten trillion, four billion, four hundred thirty million, three hundred twenty thousand, three hundred twenty".