41731324735256 has 128 divisors (see below), whose sum is σ = 88271616222720. Its totient is φ = 18351429617664.

The previous prime is 41731324735237. The next prime is 41731324735259. The reversal of 41731324735256 is 65253742313714.

41731324735256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 41731324735198 and 41731324735207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41731324735259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2177693531 + ... + 2177712693.

It is an arithmetic number, because the mean of its divisors is an integer number (689622001740).

Almost surely, 2^{41731324735256} is an apocalyptic number.

41731324735256 is a gapful number since it is divisible by the number (46) 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 41731324735256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44135808111360).

41731324735256 is an abundant number, since it is smaller than the sum of its proper divisors (46540291487464).

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

41731324735256 is a wasteful number, since it uses less digits than its factorization.

41731324735256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22705 (or 22701 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 53.

The spelling of 41731324735256 in words is "forty-one trillion, seven hundred thirty-one billion, three hundred twenty-four million, seven hundred thirty-five thousand, two hundred fifty-six".