13385161440 has 576 divisors, whose sum is σ = 56002363200. Its totient is φ = 2975035392.

The previous prime is 13385161411. The next prime is 13385161457. The reversal of 13385161440 is 4416158331.

13385161440 is a `hidden beast` number, since 1 + 3 + 38 + 5 + 1 + 614 + 4 + 0 = 666.

13385161440 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 = 13385161395 and 13385161404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7831306 + ... + 7833014.

It is an arithmetic number, because the mean of its divisors is an integer number (97226325).

Almost surely, 2^13385161440 is an apocalyptic number.

13385161440 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 13385161440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28001181600).

13385161440 is an abundant number, since it is smaller than the sum of its proper divisors (42617201760).

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

13385161440 is a wasteful number, since it uses less digits than its factorization.

13385161440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 13385161440 in words is "thirteen billion, three hundred eighty-five million, one hundred sixty-one thousand, four hundred forty".