14079000960 has 256 divisors, whose sum is σ = 50056704000. Its totient is φ = 3739834368.

The previous prime is 14079000941. The next prime is 14079000979. The reversal of 14079000960 is 6900097041.

It is an interprime number because it is at equal distance from previous prime (14079000941) and next prime (14079000979).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4888801 + ... + 4891679.

It is an arithmetic number, because the mean of its divisors is an integer number (195534000).

Almost surely, 2^14079000960 is an apocalyptic number.

14079000960 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 14079000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25028352000).

14079000960 is an abundant number, since it is smaller than the sum of its proper divisors (35977703040).

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

14079000960 is a wasteful number, since it uses less digits than its factorization.

14079000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3190 (or 3172 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 14079000960 in words is "fourteen billion, seventy-nine million, nine hundred sixty", and thus it is an aban number.