10241020320 has 192 divisors, whose sum is σ = 34390137600. Its totient is φ = 2552741888.

The previous prime is 10241020291. The next prime is 10241020331. The reversal of 10241020320 is 2302014201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10241020320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1211629 + ... + 1220051.

It is an arithmetic number, because the mean of its divisors is an integer number (179115300).

Almost surely, 2^10241020320 is an apocalyptic number.

10241020320 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 10241020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17195068800).

10241020320 is an abundant number, since it is smaller than the sum of its proper divisors (24149117280).

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

10241020320 is a wasteful number, since it uses less digits than its factorization.

10241020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8607 (or 8599 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10241020320 its reverse (2302014201), we get a palindrome (12543034521).

The spelling of 10241020320 in words is "ten billion, two hundred forty-one million, twenty thousand, three hundred twenty".