10114104440 has 192 divisors, whose sum is σ = 26822184480. Its totient is φ = 3417497600.

The previous prime is 10114104439. The next prime is 10114104563. The reversal of 10114104440 is 4440141101.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6828500 + ... + 6829980.

Almost surely, 2^10114104440 is an apocalyptic number.

10114104440 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 10114104440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13411092240).

10114104440 is an abundant number, since it is smaller than the sum of its proper divisors (16708080040).

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

10114104440 is a wasteful number, since it uses less digits than its factorization.

10114104440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 10114104440 its reverse (4440141101), we get a palindrome (14554245541).

The spelling of 10114104440 in words is "ten billion, one hundred fourteen million, one hundred four thousand, four hundred forty".