41948817576016 has 80 divisors (see below), whose sum is σ = 88752469478400. Its totient is φ = 19091288392704.

The previous prime is 41948817575983. The next prime is 41948817576079. The reversal of 41948817576016 is 61067571884914.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3706665 + ... + 9881143.

It is an arithmetic number, because the mean of its divisors is an integer number (1109405868480).

Almost surely, 2^{41948817576016} 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 41948817576016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44376234739200).

41948817576016 is an abundant number, since it is smaller than the sum of its proper divisors (46803651902384).

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

41948817576016 is a wasteful number, since it uses less digits than its factorization.

41948817576016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6174956 (or 6174950 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 67.

The spelling of 41948817576016 in words is "forty-one trillion, nine hundred forty-eight billion, eight hundred seventeen million, five hundred seventy-six thousand, sixteen".