13835626040 has 64 divisors (see below), whose sum is σ = 31505816160. Its totient is φ = 5467668480.

The previous prime is 13835626039. The next prime is 13835626061. The reversal of 13835626040 is 4062653831.

13835626040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13835625985 and 13835626003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2484299 + ... + 2489861.

Almost surely, 2^13835626040 is an apocalyptic number.

13835626040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13835626040 is an abundant number, since it is smaller than the sum of its proper divisors (17670190120).

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

13835626040 is a wasteful number, since it uses less digits than its factorization.

13835626040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6312 (or 6308 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 13835626040 in words is "thirteen billion, eight hundred thirty-five million, six hundred twenty-six thousand, forty".