13662636302040 has 256 divisors, whose sum is σ = 47188484928000. Its totient is φ = 3129761710080.

The previous prime is 13662636302039. The next prime is 13662636302041. The reversal of 13662636302040 is 4020363626631.

13662636302040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13662636302039) and next prime (13662636302041).

It is a super-2 number, since 2×13662636302040² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13662636301983 and 13662636302001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13662636302041) 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, 9055912 + ... + 10456328.

It is an arithmetic number, because the mean of its divisors is an integer number (184330019250).

Almost surely, 2^{13662636302040} is an apocalyptic number.

13662636302040 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 13662636302040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23594242464000).

13662636302040 is an abundant number, since it is smaller than the sum of its proper divisors (33525848625960).

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

13662636302040 is a wasteful number, since it uses less digits than its factorization.

13662636302040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400850 (or 1400846 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 42.

Adding to 13662636302040 its reverse (4020363626631), we get a palindrome (17682999928671).

The spelling of 13662636302040 in words is "thirteen trillion, six hundred sixty-two billion, six hundred thirty-six million, three hundred two thousand, forty".