14200854068640 has 288 divisors, whose sum is σ = 46305406002240. Its totient is φ = 3658014867456.

The previous prime is 14200854068591. The next prime is 14200854068689. The reversal of 14200854068640 is 4686045800241.

It is an interprime number because it is at equal distance from previous prime (14200854068591) and next prime (14200854068689).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 14200854068640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91261944 + ... + 91417416.

It is an arithmetic number, because the mean of its divisors is an integer number (160782659730).

Almost surely, 2^{14200854068640} is an apocalyptic number.

14200854068640 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 14200854068640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23152703001120).

14200854068640 is an abundant number, since it is smaller than the sum of its proper divisors (32104551933600).

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

14200854068640 is a wasteful number, since it uses less digits than its factorization.

14200854068640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155704 (or 155659 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

Adding to 14200854068640 its reverse (4686045800241), we get a palindrome (18886899868881).

The spelling of 14200854068640 in words is "fourteen trillion, two hundred billion, eight hundred fifty-four million, sixty-eight thousand, six hundred forty".