14038725376 has 144 divisors (see below), whose sum is σ = 31181367168. Its totient is φ = 6266880000.

The previous prime is 14038725373. The next prime is 14038725397. The reversal of 14038725376 is 67352783041.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (14038725373) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18693001 + ... + 18693751.

It is an arithmetic number, because the mean of its divisors is an integer number (216537272).

Almost surely, 2^14038725376 is an apocalyptic number.

14038725376 is a gapful number since it is divisible by the number (16) 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 14038725376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15590683584).

14038725376 is an abundant number, since it is smaller than the sum of its proper divisors (17142641792).

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

14038725376 is a wasteful number, since it uses less digits than its factorization.

14038725376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 46.

The spelling of 14038725376 in words is "fourteen billion, thirty-eight million, seven hundred twenty-five thousand, three hundred seventy-six".