13682442240 has 320 divisors, whose sum is σ = 49100919120. Its totient is φ = 3645112320.

The previous prime is 13682442227. The next prime is 13682442251. The reversal of 13682442240 is 4224428631.

13682442240 is a `hidden beast` number, since 136 + 82 + 442 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 = 13682442195 and 13682442204.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 13270525 + ... + 13271555.

Almost surely, 2^13682442240 is an apocalyptic number.

13682442240 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 13682442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24550459560).

13682442240 is an abundant number, since it is smaller than the sum of its proper divisors (35418476880).

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

13682442240 is an frugal number, since it uses more digits than its factorization.

13682442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 13682442240 in words is "thirteen billion, six hundred eighty-two million, four hundred forty-two thousand, two hundred forty".