41731812233856 has 512 divisors, whose sum is σ = 128308654368000. Its totient is φ = 13336937349120.

The previous prime is 41731812233851. The next prime is 41731812233861. The reversal of 41731812233856 is 65833221813714.

41731812233856 is a `hidden beast` number, since 4 + 1 + 7 + 31 + 8 + 1 + 223 + 385 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (41731812233851) and next prime (41731812233861).

It is a super-3 number, since 3×41731812233856³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (41731812233851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9578104830 + ... + 9578109186.

Almost surely, 2^{41731812233856} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41731812233856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64154327184000).

41731812233856 is an abundant number, since it is smaller than the sum of its proper divisors (86576842134144).

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

41731812233856 is a wasteful number, since it uses less digits than its factorization.

41731812233856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5057 (or 5039 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 41731812233856 in words is "forty-one trillion, seven hundred thirty-one billion, eight hundred twelve million, two hundred thirty-three thousand, eight hundred fifty-six".