41728224384 has 1152 divisors, whose sum is σ = 167610643200. Its totient is φ = 10189670400.

The previous prime is 41728224383. The next prime is 41728224397. The reversal of 41728224384 is 48342282714.

41728224384 is a `hidden beast` number, since 4 + 172 + 82 + 24 + 384 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (41728224383) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 318535999 + ... + 318536129.

It is an arithmetic number, because the mean of its divisors is an integer number (145495350).

Almost surely, 2^41728224384 is an apocalyptic number.

41728224384 is a gapful number since it is divisible by the number (44) 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 41728224384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83805321600).

41728224384 is an abundant number, since it is smaller than the sum of its proper divisors (125882418816).

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

41728224384 is a wasteful number, since it uses less digits than its factorization.

41728224384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 173 counting only the distinct ones).

The product of its digits is 688128, while the sum is 45.

The spelling of 41728224384 in words is "forty-one billion, seven hundred twenty-eight million, two hundred twenty-four thousand, three hundred eighty-four".