14376431407104 has 936 divisors, whose sum is σ = 48703999551480. Its totient is φ = 4047645966336.

The previous prime is 14376431407027. The next prime is 14376431407123. The reversal of 14376431407104 is 40170413467341.

It is a happy number.

14376431407104 is a `hidden beast` number, since 1 + 4 + 3 + 76 + 431 + 40 + 7 + 104 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 475106918400 + 13901324488704 = 689280^2 + 3728448^2 .

It is a tau number, because it is divible by the number of its divisors (936).

It is a self number, because there is not a number n which added to its sum of digits gives 14376431407104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11153165692 + ... + 11153166980.

It is an arithmetic number, because the mean of its divisors is an integer number (52034187555).

Almost surely, 2^{14376431407104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14376431407104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24351999775740).

14376431407104 is an abundant number, since it is smaller than the sum of its proper divisors (34327568144376).

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

14376431407104 is a wasteful number, since it uses less digits than its factorization.

14376431407104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 14376431407104 in words is "fourteen trillion, three hundred seventy-six billion, four hundred thirty-one million, four hundred seven thousand, one hundred four".