10114404334140 has 96 divisors (see below), whose sum is σ = 29555153381376. Its totient is φ = 2579600263680.

The previous prime is 10114404334121. The next prime is 10114404334187. The reversal of 10114404334140 is 4143340441101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10114404334098 and 10114404334107.

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 11328909 + ... + 12189051.

It is an arithmetic number, because the mean of its divisors is an integer number (307866181056).

Almost surely, 2^{10114404334140} is an apocalyptic number.

10114404334140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10114404334140 is an abundant number, since it is smaller than the sum of its proper divisors (19440749047236).

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

10114404334140 is a wasteful number, since it uses less digits than its factorization.

10114404334140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868699 (or 868697 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 10114404334140 its reverse (4143340441101), we get a palindrome (14257744775241).

The spelling of 10114404334140 in words is "ten trillion, one hundred fourteen billion, four hundred four million, three hundred thirty-four thousand, one hundred forty".