14027120640 has 336 divisors, whose sum is σ = 52382611008. Its totient is φ = 3451650048.

The previous prime is 14027120621. The next prime is 14027120651. The reversal of 14027120640 is 4602172041.

14027120640 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 7 + 12 + 0 + 640 = 666.

It is a super-2 number, since 2×14027120640² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4790857 + ... + 4793783.

It is an arithmetic number, because the mean of its divisors is an integer number (155900628).

Almost surely, 2^14027120640 is an apocalyptic number.

14027120640 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 14027120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26191305504).

14027120640 is an abundant number, since it is smaller than the sum of its proper divisors (38355490368).

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

14027120640 is a wasteful number, since it uses less digits than its factorization.

14027120640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2977 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 14027120640 its reverse (4602172041), we get a palindrome (18629292681).

The spelling of 14027120640 in words is "fourteen billion, twenty-seven million, one hundred twenty thousand, six hundred forty".