13705102040 has 96 divisors (see below), whose sum is σ = 37759057200. Its totient is φ = 4451569920.

The previous prime is 13705102027. The next prime is 13705102049. The reversal of 13705102040 is 4020150731.

It is a junction number, because it is equal to n+sod(n) for n = 13705101997 and 13705102015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13705102049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146771 + ... + 221250.

Almost surely, 2^13705102040 is an apocalyptic number.

13705102040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13705102040 is an abundant number, since it is smaller than the sum of its proper divisors (24053955160).

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

13705102040 is a wasteful number, since it uses less digits than its factorization.

13705102040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368065 (or 368054 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

Adding to 13705102040 its reverse (4020150731), we get a palindrome (17725252771).

The spelling of 13705102040 in words is "thirteen billion, seven hundred five million, one hundred two thousand, forty".