10442304331300 has 144 divisors (see below), whose sum is σ = 23960561425920. Its totient is φ = 3943680832000.

The previous prime is 10442304331279. The next prime is 10442304331301. The reversal of 10442304331300 is 313340324401.

It is not an unprimeable number, because it can be changed into a prime (10442304331301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160937865 + ... + 161002735.

It is an arithmetic number, because the mean of its divisors is an integer number (166392787680).

Almost surely, 2^{10442304331300} is an apocalyptic number.

10442304331300 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 10442304331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11980280712960).

10442304331300 is an abundant number, since it is smaller than the sum of its proper divisors (13518257094620).

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

10442304331300 is a wasteful number, since it uses less digits than its factorization.

10442304331300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66142 (or 66135 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 10442304331300 its reverse (313340324401), we get a palindrome (10755644655701).

The spelling of 10442304331300 in words is "ten trillion, four hundred forty-two billion, three hundred four million, three hundred thirty-one thousand, three hundred".