10242320000 has 320 divisors, whose sum is σ = 28334180160. Its totient is φ = 3655680000.

The previous prime is 10242319939. The next prime is 10242320029. The reversal of 10242320000 is 2324201.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 90639944 + ... + 90640056.

It is an arithmetic number, because the mean of its divisors is an integer number (88544313).

Almost surely, 2^10242320000 is an apocalyptic number.

10242320000 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 10242320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14167090080).

10242320000 is an abundant number, since it is smaller than the sum of its proper divisors (18091860160).

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

10242320000 is a wasteful number, since it uses less digits than its factorization.

10242320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 10242320000 its reverse (2324201), we get a palindrome (10244644201).

The spelling of 10242320000 in words is "ten billion, two hundred forty-two million, three hundred twenty thousand".