13405499965440 has 1920 divisors, whose sum is σ = 55987216588800. Its totient is φ = 3008385515520.

The previous prime is 13405499965433. The next prime is 13405499965457. The reversal of 13405499965440 is 4456999450431.

13405499965440 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 5 + 49 + 99 + 65 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21726904012 + ... + 21726904628.

It is an arithmetic number, because the mean of its divisors is an integer number (29160008640).

Almost surely, 2^{13405499965440} is an apocalyptic number.

13405499965440 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 13405499965440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27993608294400).

13405499965440 is an abundant number, since it is smaller than the sum of its proper divisors (42581716623360).

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

13405499965440 is a wasteful number, since it uses less digits than its factorization.

13405499965440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 13405499965440 in words is "thirteen trillion, four hundred five billion, four hundred ninety-nine million, nine hundred sixty-five thousand, four hundred forty".