14004660000 has 240 divisors, whose sum is σ = 46412993088. Its totient is φ = 3696000000.

The previous prime is 14004659989. The next prime is 14004660001. The reversal of 14004660000 is 6640041.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×14004660000² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14004660001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6058845 + ... + 6061155.

Almost surely, 2^14004660000 is an apocalyptic number.

14004660000 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 14004660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23206496544).

14004660000 is an abundant number, since it is smaller than the sum of its proper divisors (32408333088).

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

14004660000 is a wasteful number, since it uses less digits than its factorization.

14004660000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The spelling of 14004660000 in words is "fourteen billion, four million, six hundred sixty thousand".