13364143435540 has 96 divisors (see below), whose sum is σ = 29790075036960. Its totient is φ = 5027054592000.

The previous prime is 13364143435519. The next prime is 13364143435561. The reversal of 13364143435540 is 4553434146331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13364143435519) and next prime (13364143435561).

It can be written as a sum of positive squares in 16 ways, for example, as 320806694404 + 13043336741136 = 566398^2 + 3611556^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13824234 + ... + 14759326.

It is an arithmetic number, because the mean of its divisors is an integer number (310313281635).

Almost surely, 2^{13364143435540} is an apocalyptic number.

13364143435540 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 13364143435540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14895037518480).

13364143435540 is an abundant number, since it is smaller than the sum of its proper divisors (16425931601420).

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

13364143435540 is a wasteful number, since it uses less digits than its factorization.

13364143435540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935773 (or 935771 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 46.

The spelling of 13364143435540 in words is "thirteen trillion, three hundred sixty-four billion, one hundred forty-three million, four hundred thirty-five thousand, five hundred forty".