13642320240 has 320 divisors, whose sum is σ = 48191915520. Its totient is φ = 3546132480.

The previous prime is 13642320217. The next prime is 13642320247. The reversal of 13642320240 is 4202324631.

13642320240 is a `hidden beast` number, since 1 + 36 + 423 + 202 + 4 + 0 = 666.

It is a super-2 number, since 2×13642320240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13642320247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15484600 + ... + 15485480.

It is an arithmetic number, because the mean of its divisors is an integer number (150599736).

Almost surely, 2^13642320240 is an apocalyptic number.

13642320240 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 13642320240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24095957760).

13642320240 is an abundant number, since it is smaller than the sum of its proper divisors (34549595280).

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

13642320240 is a wasteful number, since it uses less digits than its factorization.

13642320240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 13642320240 its reverse (4202324631), we get a palindrome (17844644871).

The spelling of 13642320240 in words is "thirteen billion, six hundred forty-two million, three hundred twenty thousand, two hundred forty".