41728000000 has 210 divisors, whose sum is σ = 104955453428. Its totient is φ = 16588800000.

The previous prime is 41727999947. The next prime is 41728000003. The reversal of 41728000000 is 82714.

It is not an unprimeable number, because it can be changed into a prime (41728000003) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 255999919 + ... + 256000081.

Almost surely, 2^41728000000 is an apocalyptic number.

41728000000 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 41728000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52477726714).

41728000000 is an abundant number, since it is smaller than the sum of its proper divisors (63227453428).

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

41728000000 is an frugal number, since it uses more digits than its factorization.

41728000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

Adding to 41728000000 its reverse (82714), we get a palindrome (41728082714).

The spelling of 41728000000 in words is "forty-one billion, seven hundred twenty-eight million", and thus it is an aban number.