14066701401600 has 480 divisors, whose sum is σ = 52088693833440. Its totient is φ = 3717914296320.

The previous prime is 14066701401587. The next prime is 14066701401611. The reversal of 14066701401600 is 610410766041.

It is a happy number.

14066701401600 is a `hidden beast` number, since 1 + 4 + 0 + 6 + 6 + 7 + 0 + 1 + 40 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 38872702 + ... + 39232898.

It is an arithmetic number, because the mean of its divisors is an integer number (108518112153).

Almost surely, 2^{14066701401600} is an apocalyptic number.

14066701401600 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 14066701401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26044346916720).

14066701401600 is an abundant number, since it is smaller than the sum of its proper divisors (38021992431840).

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

14066701401600 is a wasteful number, since it uses less digits than its factorization.

14066701401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360347 (or 360320 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 14066701401600 in words is "fourteen trillion, sixty-six billion, seven hundred one million, four hundred one thousand, six hundred".