14126377104 has 240 divisors, whose sum is σ = 47893422720. Its totient is φ = 3905107200.

The previous prime is 14126377099. The next prime is 14126377123. The reversal of 14126377104 is 40177362141.

14126377104 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 637 + 7 + 10 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2903634 + ... + 2908494.

It is an arithmetic number, because the mean of its divisors is an integer number (199555928).

Almost surely, 2^14126377104 is an apocalyptic number.

14126377104 is a gapful number since it is divisible by the number (14) 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 14126377104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23946711360).

14126377104 is an abundant number, since it is smaller than the sum of its proper divisors (33767045616).

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

14126377104 is a wasteful number, since it uses less digits than its factorization.

14126377104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4947 (or 4904 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 14126377104 in words is "fourteen billion, one hundred twenty-six million, three hundred seventy-seven thousand, one hundred four".