14206103216640 has 480 divisors, whose sum is σ = 51509682544320. Its totient is φ = 3613581017088.

The previous prime is 14206103216621. The next prime is 14206103216671. The reversal of 14206103216640 is 4661230160241.

14206103216640 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 6 + 1 + 0 + 3 + 2 + 1 + 6 + 640 = 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 junction number, because it is equal to n+sod(n) for n = 14206103216595 and 14206103216604.

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, 55329199 + ... + 55585361.

It is an arithmetic number, because the mean of its divisors is an integer number (107311838634).

Almost surely, 2^{14206103216640} is an apocalyptic number.

14206103216640 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 14206103216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25754841272160).

14206103216640 is an abundant number, since it is smaller than the sum of its proper divisors (37303579327680).

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

14206103216640 is a wasteful number, since it uses less digits than its factorization.

14206103216640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256304 (or 256285 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 14206103216640 its reverse (4661230160241), we get a palindrome (18867333376881).

The spelling of 14206103216640 in words is "fourteen trillion, two hundred six billion, one hundred three million, two hundred sixteen thousand, six hundred forty".