13124341543040 has 384 divisors, whose sum is σ = 39687152843520. Its totient is φ = 4113298022400.

The previous prime is 13124341542967. The next prime is 13124341543043. The reversal of 13124341543040 is 4034514342131.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (13124341543043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41834765 + ... + 42147315.

It is an arithmetic number, because the mean of its divisors is an integer number (103351960530).

Almost surely, 2^{13124341543040} is an apocalyptic number.

13124341543040 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 13124341543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19843576421760).

13124341543040 is an abundant number, since it is smaller than the sum of its proper divisors (26562811300480).

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

13124341543040 is a wasteful number, since it uses less digits than its factorization.

13124341543040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312700 (or 312681 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

Adding to 13124341543040 its reverse (4034514342131), we get a palindrome (17158855885171).

The spelling of 13124341543040 in words is "thirteen trillion, one hundred twenty-four billion, three hundred forty-one million, five hundred forty-three thousand, forty".