10401240224 has 96 divisors (see below), whose sum is σ = 22357944000. Its totient is φ = 4744341504.

The previous prime is 10401240209. The next prime is 10401240229. The reversal of 10401240224 is 42204210401.

10401240224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10401240196 and 10401240205.

It is not an unprimeable number, because it can be changed into a prime (10401240229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10913732 + ... + 10914684.

It is an arithmetic number, because the mean of its divisors is an integer number (232895250).

Almost surely, 2^10401240224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10401240224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11178972000).

10401240224 is an abundant number, since it is smaller than the sum of its proper divisors (11956703776).

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

10401240224 is a wasteful number, since it uses less digits than its factorization.

10401240224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 10401240224 its reverse (42204210401), we get a palindrome (52605450625).

The spelling of 10401240224 in words is "ten billion, four hundred one million, two hundred forty thousand, two hundred twenty-four".