41724815328 has 288 divisors, whose sum is σ = 143019152640. Its totient is φ = 11272089600.

The previous prime is 41724815323. The next prime is 41724815383. The reversal of 41724815328 is 82351842714.

41724815328 is a `hidden beast` number, since 4 + 1 + 72 + 48 + 1 + 532 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41724815323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34741128 + ... + 34742328.

It is an arithmetic number, because the mean of its divisors is an integer number (496594280).

Almost surely, 2^41724815328 is an apocalyptic number.

41724815328 is a gapful number since it is divisible by the number (48) 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 41724815328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71509576320).

41724815328 is an abundant number, since it is smaller than the sum of its proper divisors (101294337312).

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

41724815328 is a wasteful number, since it uses less digits than its factorization.

41724815328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150 (or 2139 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The spelling of 41724815328 in words is "forty-one billion, seven hundred twenty-four million, eight hundred fifteen thousand, three hundred twenty-eight".