13210010440 has 192 divisors, whose sum is σ = 34749388800. Its totient is φ = 4506078720.

The previous prime is 13210010399. The next prime is 13210010461. The reversal of 13210010440 is 4401001231.

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 47 ways as a sum of consecutive naturals, for example, 5898841 + ... + 5901079.

It is an arithmetic number, because the mean of its divisors is an integer number (180986400).

Almost surely, 2^13210010440 is an apocalyptic number.

13210010440 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 13210010440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17374694400).

13210010440 is an abundant number, since it is smaller than the sum of its proper divisors (21539378360).

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

13210010440 is a wasteful number, since it uses less digits than its factorization.

13210010440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 13210010440 its reverse (4401001231), we get a palindrome (17611011671).

The spelling of 13210010440 in words is "thirteen billion, two hundred ten million, ten thousand, four hundred forty".