13783127040 has 132 divisors (see below), whose sum is σ = 47758335924. Its totient is φ = 3675488256.

The previous prime is 13783127027. The next prime is 13783127089. The reversal of 13783127040 is 4072138731.

It can be written as a sum of positive squares in 2 ways, for example, as 3929785344 + 9853341696 = 62688^2 + 99264^2 .

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 = 13783126986 and 13783127004.

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 11 ways as a sum of consecutive naturals, for example, 103477 + ... + 195636.

Almost surely, 2^13783127040 is an apocalyptic number.

13783127040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13783127040 is an abundant number, since it is smaller than the sum of its proper divisors (33975208884).

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

13783127040 is a wasteful number, since it uses less digits than its factorization.

13783127040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299144 (or 299123 counting only the distinct ones).

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

The spelling of 13783127040 in words is "thirteen billion, seven hundred eighty-three million, one hundred twenty-seven thousand, forty".