41821776483968 has 256 divisors, whose sum is σ = 91782773913600. Its totient is φ = 18865328025600.

The previous prime is 41821776483959. The next prime is 41821776483973. The reversal of 41821776483968 is 86938467712814.

It is a happy number.

It is a super-2 number, since 2×41821776483968² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41821776483895 and 41821776483904.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6556161803 + ... + 6556168181.

It is an arithmetic number, because the mean of its divisors is an integer number (358526460600).

Almost surely, 2^{41821776483968} 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 41821776483968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45891386956800).

41821776483968 is an abundant number, since it is smaller than the sum of its proper divisors (49960997429632).

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

41821776483968 is a wasteful number, since it uses less digits than its factorization.

41821776483968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6951 (or 6939 counting only the distinct ones).

The product of its digits is 780337152, while the sum is 74.

The spelling of 41821776483968 in words is "forty-one trillion, eight hundred twenty-one billion, seven hundred seventy-six million, four hundred eighty-three thousand, nine hundred sixty-eight".