13260222811440 has 480 divisors, whose sum is σ = 51215491641600. Its totient is φ = 3040766023680.

The previous prime is 13260222811439. The next prime is 13260222811453. The reversal of 13260222811440 is 4411822206231.

13260222811440 is a `hidden beast` number, since 1 + 3 + 2 + 602 + 2 + 2 + 8 + 1 + 1 + 4 + 40 = 666.

13260222811440 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 13260222811395 and 13260222811404.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99099462 + ... + 99233178.

It is an arithmetic number, because the mean of its divisors is an integer number (106698940920).

Almost surely, 2^{13260222811440} is an apocalyptic number.

13260222811440 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 13260222811440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25607745820800).

13260222811440 is an abundant number, since it is smaller than the sum of its proper divisors (37955268830160).

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

13260222811440 is a wasteful number, since it uses less digits than its factorization.

13260222811440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134425 (or 134416 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 13260222811440 in words is "thirteen trillion, two hundred sixty billion, two hundred twenty-two million, eight hundred eleven thousand, four hundred forty".