13067256040 has 64 divisors (see below), whose sum is σ = 31246981200. Its totient is φ = 4901081088.

The previous prime is 13067256019. The next prime is 13067256043. The reversal of 13067256040 is 4065276031.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5971889284 + 7095366756 = 77278^2 + 84234^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 13067255987 and 13067256005.

It is not an unprimeable number, because it can be changed into a prime (13067256043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147202 + ... + 218638.

Almost surely, 2^13067256040 is an apocalyptic number.

13067256040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13067256040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15623490600).

13067256040 is an abundant number, since it is smaller than the sum of its proper divisors (18179725160).

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

13067256040 is a wasteful number, since it uses less digits than its factorization.

13067256040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71734 (or 71730 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The spelling of 13067256040 in words is "thirteen billion, sixty-seven million, two hundred fifty-six thousand, forty".