14001136208640 has 2592 divisors, whose sum is σ = 60868323944064. Its totient is φ = 3018471505920.

The previous prime is 14001136208617. The next prime is 14001136208669. The reversal of 14001136208640 is 4680263110041.

14001136208640 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 1 + 1 + 3 + 6 + 2 + 0 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×14001136208640² (a number of 27 digits) contains 22 as substring.

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 = 14001136208595 and 14001136208604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 89179211442 + ... + 89179211598.

Almost surely, 2^{14001136208640} is an apocalyptic number.

14001136208640 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 14001136208640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30434161972032).

14001136208640 is an abundant number, since it is smaller than the sum of its proper divisors (46867187735424).

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

14001136208640 is an frugal number, since it uses more digits than its factorization.

14001136208640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 252 counting only the distinct ones).

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

Adding to 14001136208640 its reverse (4680263110041), we get a palindrome (18681399318681).

The spelling of 14001136208640 in words is "fourteen trillion, one billion, one hundred thirty-six million, two hundred eight thousand, six hundred forty".