13906406440 has 32 divisors (see below), whose sum is σ = 31307877000. Its totient is φ = 5559280384.

The previous prime is 13906406429. The next prime is 13906406519. The reversal of 13906406440 is 4460460931.

13906406440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4404445956 + 9501960484 = 66366^2 + 97478^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13906406440.

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 7 ways as a sum of consecutive naturals, for example, 33355 + ... + 170074.

Almost surely, 2^13906406440 is an apocalyptic number.

13906406440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13906406440 is an abundant number, since it is smaller than the sum of its proper divisors (17401470560).

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

13906406440 is a wasteful number, since it uses less digits than its factorization.

13906406440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205149 (or 205145 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The spelling of 13906406440 in words is "thirteen billion, nine hundred six million, four hundred six thousand, four hundred forty".