14006080166400 has 1440 divisors, whose sum is σ = 60865152416640. Its totient is φ = 3007270748160.

The previous prime is 14006080166389. The next prime is 14006080166413. The reversal of 14006080166400 is 466108060041.

14006080166400 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 6 + 0 + 8 + 0 + 1 + 6 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 865259107 + ... + 865275293.

It is an arithmetic number, because the mean of its divisors is an integer number (42267466956).

Almost surely, 2^{14006080166400} is an apocalyptic number.

14006080166400 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 14006080166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30432576208320).

14006080166400 is an abundant number, since it is smaller than the sum of its proper divisors (46859072250240).

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

14006080166400 is a wasteful number, since it uses less digits than its factorization.

14006080166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16294 (or 16270 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 14006080166400 in words is "fourteen trillion, six billion, eighty million, one hundred sixty-six thousand, four hundred".