10114113440 has 48 divisors (see below), whose sum is σ = 25152210720. Its totient is φ = 3832715520.

The previous prime is 10114113431. The next prime is 10114113461. The reversal of 10114113440 is 4431141101.

10114113440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1660466 + ... + 1666545.

It is an arithmetic number, because the mean of its divisors is an integer number (524004390).

Almost surely, 2^10114113440 is an apocalyptic number.

10114113440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10114113440 is an abundant number, since it is smaller than the sum of its proper divisors (15038097280).

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

10114113440 is a wasteful number, since it uses less digits than its factorization.

10114113440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3327045 (or 3327037 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 10114113440 its reverse (4431141101), we get a palindrome (14545254541).

The spelling of 10114113440 in words is "ten billion, one hundred fourteen million, one hundred thirteen thousand, four hundred forty".