13682228040 has 384 divisors, whose sum is σ = 50633856000. Its totient is φ = 3178745856.

The previous prime is 13682228023. The next prime is 13682228041. The reversal of 13682228040 is 4082228631.

13682228040 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 = 13682227986 and 13682228004.

It is not an unprimeable number, because it can be changed into a prime (13682228041) by changing a digit.

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, 8502756 + ... + 8504364.

It is an arithmetic number, because the mean of its divisors is an integer number (131859000).

Almost surely, 2^13682228040 is an apocalyptic number.

13682228040 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 13682228040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25316928000).

13682228040 is an abundant number, since it is smaller than the sum of its proper divisors (36951627960).

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

13682228040 is a wasteful number, since it uses less digits than its factorization.

13682228040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1741 (or 1734 counting only the distinct ones).

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

The spelling of 13682228040 in words is "thirteen billion, six hundred eighty-two million, two hundred twenty-eight thousand, forty".