13320210031440 has 320 divisors, whose sum is σ = 44884484709120. Its totient is φ = 3248215326720.

The previous prime is 13320210031417. The next prime is 13320210031441. The reversal of 13320210031440 is 4413001202331.

It is a happy number.

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 13320210031440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13320210031441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 825334891 + ... + 825351029.

It is an arithmetic number, because the mean of its divisors is an integer number (140264014716).

Almost surely, 2^{13320210031440} is an apocalyptic number.

13320210031440 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 13320210031440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22442242354560).

13320210031440 is an abundant number, since it is smaller than the sum of its proper divisors (31564274677680).

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

13320210031440 is a wasteful number, since it uses less digits than its factorization.

13320210031440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18622 (or 18616 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13320210031440 its reverse (4413001202331), we get a palindrome (17733211233771).

The spelling of 13320210031440 in words is "thirteen trillion, three hundred twenty billion, two hundred ten million, thirty-one thousand, four hundred forty".