41332900896768 has 448 divisors, whose sum is σ = 127297671500160. Its totient is φ = 11821035552768.

The previous prime is 41332900896743. The next prime is 41332900896769. The reversal of 41332900896768 is 86769800923314.

It is a junction number, because it is equal to n+sod(n) for n = 41332900896699 and 41332900896708.

It is not an unprimeable number, because it can be changed into a prime (41332900896769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321660180 + ... + 321788652.

It is an arithmetic number, because the mean of its divisors is an integer number (284146588170).

Almost surely, 2^{41332900896768} is an apocalyptic number.

41332900896768 is a gapful number since it is divisible by the number (48) 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 41332900896768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63648835750080).

41332900896768 is an abundant number, since it is smaller than the sum of its proper divisors (85964770603392).

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

41332900896768 is a wasteful number, since it uses less digits than its factorization.

41332900896768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128587 (or 128563 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 66.

The spelling of 41332900896768 in words is "forty-one trillion, three hundred thirty-two billion, nine hundred million, eight hundred ninety-six thousand, seven hundred sixty-eight".