41791846656 has 144 divisors (see below), whose sum is σ = 129272371200. Its totient is φ = 11738056704.

The previous prime is 41791846639. The next prime is 41791846667. The reversal of 41791846656 is 65664819714.

It is a junction number, because it is equal to n+sod(n) for n = 41791846596 and 41791846605.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 251305 + ... + 383063.

It is an arithmetic number, because the mean of its divisors is an integer number (897724800).

Almost surely, 2^41791846656 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 41791846656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64636185600).

41791846656 is an abundant number, since it is smaller than the sum of its proper divisors (87480524544).

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

41791846656 is a wasteful number, since it uses less digits than its factorization.

41791846656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131844 (or 131830 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 57.

The spelling of 41791846656 in words is "forty-one billion, seven hundred ninety-one million, eight hundred forty-six thousand, six hundred fifty-six".