14071016960 has 960 divisors, whose sum is σ = 50651758080. Its totient is φ = 3609722880.

The previous prime is 14071016959. The next prime is 14071016969. The reversal of 14071016960 is 6961017041.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 14071016960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14071016969) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 740579831 + ... + 740579849.

It is an arithmetic number, because the mean of its divisors is an integer number (52762248).

Almost surely, 2^14071016960 is an apocalyptic number.

14071016960 is a gapful number since it is divisible by the number (10) 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 14071016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25325879040).

14071016960 is an abundant number, since it is smaller than the sum of its proper divisors (36580741120).

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

14071016960 is a wasteful number, since it uses less digits than its factorization.

14071016960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The spelling of 14071016960 in words is "fourteen billion, seventy-one million, sixteen thousand, nine hundred sixty".