13010440 has 96 divisors (see below), whose sum is σ = 33329880. Its totient is φ = 4552704.

The previous prime is 13010419. The next prime is 13010447. The reversal of 13010440 is 4401031.

It can be written as a sum of positive squares in 4 ways, for example, as 12489156 + 521284 = 3534^2 + 722^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13010440.

It is not an unprimeable number, because it can be changed into a prime (13010447) 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, 245454 + ... + 245506.

Almost surely, 2^13010440 is an apocalyptic number.

13010440 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 13010440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16664940).

13010440 is an abundant number, since it is smaller than the sum of its proper divisors (20319440).

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

13010440 is a wasteful number, since it uses less digits than its factorization.

13010440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 13010440 is about 3606.9987524256. The cubic root of 13010440 is about 235.1963953510.

Adding to 13010440 its reverse (4401031), we get a palindrome (17411471).

The spelling of 13010440 in words is "thirteen million, ten thousand, four hundred forty".