14131727640 has 64 divisors (see below), whose sum is σ = 47105762400. Its totient is φ = 3768460416.

The previous prime is 14131727639. The next prime is 14131727653. The reversal of 14131727640 is 4672713141.

14131727640 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 1 + 7 + 2 + 7 + 640 = 666.

It is a super-2 number, since 2×14131727640² (a number of 21 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 = 14131727595 and 14131727604.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 6541387 + ... + 6543546.

Almost surely, 2^14131727640 is an apocalyptic number.

14131727640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14131727640 is an abundant number, since it is smaller than the sum of its proper divisors (32974034760).

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

14131727640 is a wasteful number, since it uses less digits than its factorization.

14131727640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13084953 (or 13084943 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 14131727640 in words is "fourteen billion, one hundred thirty-one million, seven hundred twenty-seven thousand, six hundred forty".