13640440124352 has 112 divisors (see below), whose sum is σ = 37522440576000. Its totient is φ = 4367965916160.

The previous prime is 13640440124351. The next prime is 13640440124357. The reversal of 13640440124352 is 25342104404631.

13640440124352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13640440124352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13640440124351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5047224 + ... + 7263287.

Almost surely, 2^{13640440124352} is an apocalyptic number.

13640440124352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13640440124352 is an abundant number, since it is smaller than the sum of its proper divisors (23882000451648).

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

13640440124352 is a wasteful number, since it uses less digits than its factorization.

13640440124352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12310754 (or 12310744 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

Adding to 13640440124352 its reverse (25342104404631), we get a palindrome (38982544528983).

The spelling of 13640440124352 in words is "thirteen trillion, six hundred forty billion, four hundred forty million, one hundred twenty-four thousand, three hundred fifty-two".