41656320000 has 510 divisors, whose sum is σ = 151707080382. Its totient is φ = 11010048000.

The previous prime is 41656319989. The next prime is 41656320001. The reversal of 41656320000 is 2365614.

41656320000 is a `hidden beast` number, since 4 + 1 + 656 + 3 + 2 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 29595009024 + 12061310976 = 172032^2 + 109824^2 .

It is not an unprimeable number, because it can be changed into a prime (41656320001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 368639944 + ... + 368640056.

Almost surely, 2^41656320000 is an apocalyptic number.

41656320000 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 41656320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75853540191).

41656320000 is an abundant number, since it is smaller than the sum of its proper divisors (110050760382).

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

41656320000 is an frugal number, since it uses more digits than its factorization.

41656320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 41656320000 its reverse (2365614), we get a palindrome (41658685614).

The spelling of 41656320000 in words is "forty-one billion, six hundred fifty-six million, three hundred twenty thousand".