13540240424000 has 112 divisors (see below), whose sum is σ = 33618614693040. Its totient is φ = 5402171801600.

The previous prime is 13540240423943. The next prime is 13540240424027. The reversal of 13540240424000 is 42404204531.

It can be written as a sum of positive squares in 8 ways, for example, as 2000685775936 + 11539554648064 = 1414456^2 + 3396992^2 .

It is a super-2 number, since 2×13540240424000² (a number of 27 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 936512 + ... + 5287488.

Almost surely, 2^{13540240424000} is an apocalyptic number.

13540240424000 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 13540240424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16809307346520).

13540240424000 is an abundant number, since it is smaller than the sum of its proper divisors (20078374269040).

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

13540240424000 is an equidigital number, since it uses as much as digits as its factorization.

13540240424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4351393 (or 4351373 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 13540240424000 its reverse (42404204531), we get a palindrome (13582644628531).

The spelling of 13540240424000 in words is "thirteen trillion, five hundred forty billion, two hundred forty million, four hundred twenty-four thousand".