41868851386752 has 384 divisors, whose sum is σ = 133230323116800. Its totient is φ = 12541389926400.

The previous prime is 41868851386721. The next prime is 41868851386793. The reversal of 41868851386752 is 25768315886814.

41868851386752 is a `hidden beast` number, since 41 + 8 + 6 + 8 + 8 + 513 + 8 + 67 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×41868851386752² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90779127 + ... + 91239177.

It is an arithmetic number, because the mean of its divisors is an integer number (346953966450).

Almost surely, 2^{41868851386752} 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 41868851386752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66615161558400).

41868851386752 is an abundant number, since it is smaller than the sum of its proper divisors (91361471730048).

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

41868851386752 is a wasteful number, since it uses less digits than its factorization.

41868851386752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460246 (or 460231 counting only the distinct ones).

The product of its digits is 619315200, while the sum is 72.

The spelling of 41868851386752 in words is "forty-one trillion, eight hundred sixty-eight billion, eight hundred fifty-one million, three hundred eighty-six thousand, seven hundred fifty-two".