14039316144 has 480 divisors, whose sum is σ = 50177145600. Its totient is φ = 3736212480.

The previous prime is 14039316131. The next prime is 14039316169. The reversal of 14039316144 is 44161393041.

14039316144 is a `hidden beast` number, since 1 + 4 + 0 + 3 + 9 + 31 + 614 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 14039316099 and 14039316108.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26946604 + ... + 26947124.

It is an arithmetic number, because the mean of its divisors is an integer number (104535720).

Almost surely, 2^14039316144 is an apocalyptic number.

14039316144 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 14039316144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25088572800).

14039316144 is an abundant number, since it is smaller than the sum of its proper divisors (36137829456).

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

14039316144 is a wasteful number, since it uses less digits than its factorization.

14039316144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 14039316144 in words is "fourteen billion, thirty-nine million, three hundred sixteen thousand, one hundred forty-four".