10111342414014 has 128 divisors (see below), whose sum is σ = 23773680921600. Its totient is φ = 3178953423360.

The previous prime is 10111342414009. The next prime is 10111342414111. The reversal of 10111342414014 is 41041424311101.

10111342414014 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 13 + 4 + 241 + 401 + 4 = 666.

10111342414014 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 443254669 + ... + 443277479.

It is an arithmetic number, because the mean of its divisors is an integer number (185731882200).

Almost surely, 2^{10111342414014} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10111342414014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11886840460800).

10111342414014 is an abundant number, since it is smaller than the sum of its proper divisors (13662338507586).

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

10111342414014 is a wasteful number, since it uses less digits than its factorization.

10111342414014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27807 (or 27801 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 10111342414014 its reverse (41041424311101), we get a palindrome (51152766725115).

The spelling of 10111342414014 in words is "ten trillion, one hundred eleven billion, three hundred forty-two million, four hundred fourteen thousand, fourteen".