13641683543040 has 2112 divisors, whose sum is σ = 56079758204928. Its totient is φ = 2809213747200.

The previous prime is 13641683543029. The next prime is 13641683543051. The reversal of 13641683543040 is 4034538614631.

It is an interprime number because it is at equal distance from previous prime (13641683543029) and next prime (13641683543051).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 191 ways as a sum of consecutive naturals, for example, 64652528535 + ... + 64652528745.

Almost surely, 2^{13641683543040} is an apocalyptic number.

13641683543040 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 13641683543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28039879102464).

13641683543040 is an abundant number, since it is smaller than the sum of its proper divisors (42438074661888).

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

13641683543040 is a wasteful number, since it uses less digits than its factorization.

13641683543040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 13641683543040 in words is "thirteen trillion, six hundred forty-one billion, six hundred eighty-three million, five hundred forty-three thousand, forty".