13406720544 has 288 divisors, whose sum is σ = 45383345280. Its totient is φ = 3674419200.

The previous prime is 13406720533. The next prime is 13406720573. The reversal of 13406720544 is 44502760431.

13406720544 is a `hidden beast` number, since 1 + 3 + 40 + 6 + 72 + 0 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 13406720499 and 13406720508.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5040687 + ... + 5043345.

It is an arithmetic number, because the mean of its divisors is an integer number (157581060).

Almost surely, 2^13406720544 is an apocalyptic number.

13406720544 is a gapful number since it is divisible by the number (14) 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 13406720544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22691672640).

13406720544 is an abundant number, since it is smaller than the sum of its proper divisors (31976624736).

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

13406720544 is a wasteful number, since it uses less digits than its factorization.

13406720544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2784 (or 2773 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 13406720544 in words is "thirteen billion, four hundred six million, seven hundred twenty thousand, five hundred forty-four".