13727410040 has 64 divisors (see below), whose sum is σ = 31100760000. Its totient is φ = 5453015040.

The previous prime is 13727410031. The next prime is 13727410063. The reversal of 13727410040 is 4001472731.

It is a junction number, because it is equal to n+sod(n) for n = 13727409985 and 13727410012.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5260256 + ... + 5262864.

It is an arithmetic number, because the mean of its divisors is an integer number (485949375).

Almost surely, 2^13727410040 is an apocalyptic number.

13727410040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13727410040 is an abundant number, since it is smaller than the sum of its proper divisors (17373349960).

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

13727410040 is a wasteful number, since it uses less digits than its factorization.

13727410040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3480 (or 3476 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 29.

Adding to 13727410040 its reverse (4001472731), we get a palindrome (17728882771).

The spelling of 13727410040 in words is "thirteen billion, seven hundred twenty-seven million, four hundred ten thousand, forty".