13124142042440 has 256 divisors, whose sum is σ = 34813836288000. Its totient is φ = 4389834746880.

The previous prime is 13124142042439. The next prime is 13124142042461. The reversal of 13124142042440 is 4424024142131.

It is a super-2 number, since 2×13124142042440² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13124142042397 and 13124142042406.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2377990001 + ... + 2377995519.

It is an arithmetic number, because the mean of its divisors is an integer number (135991548000).

Almost surely, 2^{13124142042440} is an apocalyptic number.

13124142042440 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 13124142042440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17406918144000).

13124142042440 is an abundant number, since it is smaller than the sum of its proper divisors (21689694245560).

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

13124142042440 is a wasteful number, since it uses less digits than its factorization.

13124142042440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6940 (or 6936 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 13124142042440 its reverse (4424024142131), we get a palindrome (17548166184571).

The spelling of 13124142042440 in words is "thirteen trillion, one hundred twenty-four billion, one hundred forty-two million, forty-two thousand, four hundred forty".