13152413441440 has 384 divisors, whose sum is σ = 38403079077888. Its totient is φ = 4145157918720.

The previous prime is 13152413441437. The next prime is 13152413441537. The reversal of 13152413441440 is 4414431425131.

It is a self number, because there is not a number n which added to its sum of digits gives 13152413441440.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3878622145 + ... + 3878625535.

It is an arithmetic number, because the mean of its divisors is an integer number (100008018432).

Almost surely, 2^{13152413441440} is an apocalyptic number.

13152413441440 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 13152413441440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19201539538944).

13152413441440 is an abundant number, since it is smaller than the sum of its proper divisors (25250665636448).

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

13152413441440 is a wasteful number, since it uses less digits than its factorization.

13152413441440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4460 (or 4452 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

Adding to 13152413441440 its reverse (4414431425131), we get a palindrome (17566844866571).

The spelling of 13152413441440 in words is "thirteen trillion, one hundred fifty-two billion, four hundred thirteen million, four hundred forty-one thousand, four hundred forty".