10013124414440 has 32 divisors (see below), whose sum is σ = 25748034209280. Its totient is φ = 3433071227712.

The previous prime is 10013124414329. The next prime is 10013124414473. The reversal of 10013124414440 is 4441442131001.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17880579032 + ... + 17880579591.

It is an arithmetic number, because the mean of its divisors is an integer number (804626069040).

Almost surely, 2^{10013124414440} is an apocalyptic number.

10013124414440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10013124414440 is an abundant number, since it is smaller than the sum of its proper divisors (15734909794840).

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

10013124414440 is a wasteful number, since it uses less digits than its factorization.

10013124414440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35761158641 (or 35761158637 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 10013124414440 its reverse (4441442131001), we get a palindrome (14454566545441).

The spelling of 10013124414440 in words is "ten trillion, thirteen billion, one hundred twenty-four million, four hundred fourteen thousand, four hundred forty".