41728461200 has 240 divisors, whose sum is σ = 108504126720. Its totient is φ = 15371919360.

The previous prime is 41728461193. The next prime is 41728461241. The reversal of 41728461200 is 216482714.

41728461200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70368104 + ... + 70368696.

It is an arithmetic number, because the mean of its divisors is an integer number (452100528).

Almost surely, 2^41728461200 is an apocalyptic number.

41728461200 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 41728461200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54252063360).

41728461200 is an abundant number, since it is smaller than the sum of its proper divisors (66775665520).

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

41728461200 is a wasteful number, since it uses less digits than its factorization.

41728461200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The spelling of 41728461200 in words is "forty-one billion, seven hundred twenty-eight million, four hundred sixty-one thousand, two hundred".