41658821760 has 256 divisors, whose sum is σ = 143035269120. Its totient is φ = 10282905600.

The previous prime is 41658821749. The next prime is 41658821777. The reversal of 41658821760 is 6712885614.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1353745 + ... + 1384175.

It is an arithmetic number, because the mean of its divisors is an integer number (558731520).

Almost surely, 2^41658821760 is an apocalyptic number.

41658821760 is a gapful number since it is divisible by the number (40) 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 41658821760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71517634560).

41658821760 is an abundant number, since it is smaller than the sum of its proper divisors (101376447360).

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

41658821760 is a wasteful number, since it uses less digits than its factorization.

41658821760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30507 (or 30495 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 41658821760 in words is "forty-one billion, six hundred fifty-eight million, eight hundred twenty-one thousand, seven hundred sixty".