10241140320 has 72 divisors (see below), whose sum is σ = 34947896256. Its totient is φ = 2730970368.

The previous prime is 10241140319. The next prime is 10241140361. The reversal of 10241140320 is 2304114201.

10241140320 is a `hidden beast` number, since 1 + 0 + 241 + 1 + 403 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10241140293 and 10241140302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3554512 + ... + 3557391.

It is an arithmetic number, because the mean of its divisors is an integer number (485387448).

Almost surely, 2^10241140320 is an apocalyptic number.

10241140320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10241140320 is an abundant number, since it is smaller than the sum of its proper divisors (24706755936).

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

10241140320 is a wasteful number, since it uses less digits than its factorization.

10241140320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7111924 (or 7111913 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10241140320 its reverse (2304114201), we get a palindrome (12545254521).

The spelling of 10241140320 in words is "ten billion, two hundred forty-one million, one hundred forty thousand, three hundred twenty".