10124413140 has 96 divisors (see below), whose sum is σ = 28523384064. Its totient is φ = 2683233280.

The previous prime is 10124413127. The next prime is 10124413147. The reversal of 10124413140 is 4131442101.

10124413140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10124413147) 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 31 ways as a sum of consecutive naturals, for example, 11413777 + ... + 11414663.

It is an arithmetic number, because the mean of its divisors is an integer number (297118584).

Almost surely, 2^10124413140 is an apocalyptic number.

10124413140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10124413140 is an abundant number, since it is smaller than the sum of its proper divisors (18398970924).

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

10124413140 is a wasteful number, since it uses less digits than its factorization.

10124413140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10124413140 its reverse (4131442101), we get a palindrome (14255855241).

The spelling of 10124413140 in words is "ten billion, one hundred twenty-four million, four hundred thirteen thousand, one hundred forty".