10124415640 has 32 divisors (see below), whose sum is σ = 23068296000. Its totient is φ = 3998502144.

The previous prime is 10124415629. The next prime is 10124415659. The reversal of 10124415640 is 4651442101.

10124415640 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 = 10124415599 and 10124415608.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1598805 + ... + 1605124.

It is an arithmetic number, because the mean of its divisors is an integer number (720884250).

Almost surely, 2^10124415640 is an apocalyptic number.

10124415640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10124415640 is an abundant number, since it is smaller than the sum of its proper divisors (12943880360).

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

10124415640 is a wasteful number, since it uses less digits than its factorization.

10124415640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3204019 (or 3204015 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 10124415640 its reverse (4651442101), we get a palindrome (14775857741).

It can be divided in two parts, 1012441 and 5640, that added together give a square (1018081 = 1009²).

The spelling of 10124415640 in words is "ten billion, one hundred twenty-four million, four hundred fifteen thousand, six hundred forty".