13442682240 has 768 divisors, whose sum is σ = 53174721600. Its totient is φ = 3224862720.

The previous prime is 13442682193. The next prime is 13442682247. The reversal of 13442682240 is 4228624431.

13442682240 is a `hidden beast` number, since 1 + 3 + 4 + 426 + 8 + 224 + 0 = 666.

It is a super-2 number, since 2×13442682240² (a number of 21 digits) contains 22 as substring.

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 = 13442682195 and 13442682204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13442682247) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 123327306 + ... + 123327414.

Almost surely, 2^13442682240 is an apocalyptic number.

13442682240 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 13442682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26587360800).

13442682240 is an abundant number, since it is smaller than the sum of its proper divisors (39732039360).

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

13442682240 is a wasteful number, since it uses less digits than its factorization.

13442682240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 193 counting only the distinct ones).

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

The spelling of 13442682240 in words is "thirteen billion, four hundred forty-two million, six hundred eighty-two thousand, two hundred forty".