10124334640 has 160 divisors (see below), whose sum is σ = 27899928576. Its totient is φ = 3343472640.

The previous prime is 10124334629. The next prime is 10124334653. The reversal of 10124334640 is 4643342101.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 10124334599 and 10124334608.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4043629 + ... + 4046131.

Almost surely, 2^10124334640 is an apocalyptic number.

10124334640 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 10124334640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13949964288).

10124334640 is an abundant number, since it is smaller than the sum of its proper divisors (17775593936).

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

10124334640 is a wasteful number, since it uses less digits than its factorization.

10124334640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2787 (or 2781 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 10124334640 its reverse (4643342101), we get a palindrome (14767676741).

The spelling of 10124334640 in words is "ten billion, one hundred twenty-four million, three hundred thirty-four thousand, six hundred forty".