13010425440 has 192 divisors, whose sum is σ = 43543604160. Its totient is φ = 3259146240.

The previous prime is 13010425429. The next prime is 13010425447. The reversal of 13010425440 is 4452401031.

13010425440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13010425440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13010425447) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 502410 + ... + 527670.

It is an arithmetic number, because the mean of its divisors is an integer number (226789605).

Almost surely, 2^13010425440 is an apocalyptic number.

13010425440 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 13010425440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21771802080).

13010425440 is an abundant number, since it is smaller than the sum of its proper divisors (30533178720).

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

13010425440 is a wasteful number, since it uses less digits than its factorization.

13010425440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25345 (or 25337 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 13010425440 its reverse (4452401031), we get a palindrome (17462826471).

The spelling of 13010425440 in words is "thirteen billion, ten million, four hundred twenty-five thousand, four hundred forty".