14002660131840 has 2112 divisors, whose sum is σ = 54844148916480. Its totient is φ = 3384433704960.

The previous prime is 14002660131829. The next prime is 14002660131841. The reversal of 14002660131840 is 4813106620041.

14002660131840 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 2 + 6 + 601 + 3 + 1 + 8 + 40 = 666.

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 = 14002660131795 and 14002660131804.

It is not an unprimeable number, because it can be changed into a prime (14002660131841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 191817262044 + ... + 191817262116.

It is an arithmetic number, because the mean of its divisors is an integer number (25967873540).

Almost surely, 2^{14002660131840} is an apocalyptic number.

14002660131840 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 14002660131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27422074458240).

14002660131840 is an abundant number, since it is smaller than the sum of its proper divisors (40841488784640).

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

14002660131840 is a wasteful number, since it uses less digits than its factorization.

14002660131840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 210 counting only the distinct ones).

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

Adding to 14002660131840 its reverse (4813106620041), we get a palindrome (18815766751881).

The spelling of 14002660131840 in words is "fourteen trillion, two billion, six hundred sixty million, one hundred thirty-one thousand, eight hundred forty".