14136560640 has 440 divisors, whose sum is σ = 51360376320. Its totient is φ = 3717660672.

The previous prime is 14136560609. The next prime is 14136560699. The reversal of 14136560640 is 4606563141.

It is a happy number.

14136560640 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 6 + 5 + 6 + 0 + 640 = 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 = 14136560595 and 14136560604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36909889 + ... + 36910271.

It is an arithmetic number, because the mean of its divisors is an integer number (116728128).

Almost surely, 2^14136560640 is an apocalyptic number.

14136560640 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 14136560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25680188160).

14136560640 is an abundant number, since it is smaller than the sum of its proper divisors (37223815680).

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

14136560640 is an equidigital number, since it uses as much as digits as its factorization.

14136560640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 14136560640 in words is "fourteen billion, one hundred thirty-six million, five hundred sixty thousand, six hundred forty".