10241126424640 has 112 divisors (see below), whose sum is σ = 24494402217600. Its totient is φ = 4078395187200.

The previous prime is 10241126424637. The next prime is 10241126424649. The reversal of 10241126424640 is 4642462114201.

It is a self number, because there is not a number n which added to its sum of digits gives 10241126424640.

It is not an unprimeable number, because it can be changed into a prime (10241126424649) 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, 67035061 + ... + 67187659.

It is an arithmetic number, because the mean of its divisors is an integer number (218700019800).

Almost surely, 2^{10241126424640} is an apocalyptic number.

10241126424640 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 10241126424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12247201108800).

10241126424640 is an abundant number, since it is smaller than the sum of its proper divisors (14253275792960).

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

10241126424640 is a wasteful number, since it uses less digits than its factorization.

10241126424640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153540 (or 153530 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

Adding to 10241126424640 its reverse (4642462114201), we get a palindrome (14883588538841).

The spelling of 10241126424640 in words is "ten trillion, two hundred forty-one billion, one hundred twenty-six million, four hundred twenty-four thousand, six hundred forty".