10242110440 has 64 divisors (see below), whose sum is σ = 23477299200. Its totient is φ = 4020411648.

The previous prime is 10242110387. The next prime is 10242110447. The reversal of 10242110440 is 4401124201.

10242110440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10242110447) 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, 713817 + ... + 728023.

It is an arithmetic number, because the mean of its divisors is an integer number (366832800).

Almost surely, 2^10242110440 is an apocalyptic number.

10242110440 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 10242110440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11738649600).

10242110440 is an abundant number, since it is smaller than the sum of its proper divisors (13235188760).

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

10242110440 is a wasteful number, since it uses less digits than its factorization.

10242110440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14554 (or 14550 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 10242110440 its reverse (4401124201), we get a palindrome (14643234641).

The spelling of 10242110440 in words is "ten billion, two hundred forty-two million, one hundred ten thousand, four hundred forty".