13201226640 has 320 divisors, whose sum is σ = 52508305920. Its totient is φ = 2985984000.

The previous prime is 13201226629. The next prime is 13201226711. The reversal of 13201226640 is 4662210231.

13201226640 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 12 + 2 + 6 + 640 = 666.

13201226640 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 (27).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1462140 + ... + 1471140.

It is an arithmetic number, because the mean of its divisors is an integer number (164088456).

Almost surely, 2^13201226640 is an apocalyptic number.

13201226640 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 13201226640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26254152960).

13201226640 is an abundant number, since it is smaller than the sum of its proper divisors (39307079280).

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

13201226640 is a wasteful number, since it uses less digits than its factorization.

13201226640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9127 (or 9115 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 13201226640 its reverse (4662210231), we get a palindrome (17863436871).

The spelling of 13201226640 in words is "thirteen billion, two hundred one million, two hundred twenty-six thousand, six hundred forty".