41713187328 has 640 divisors, whose sum is σ = 138276864000. Its totient is φ = 12361973760.

The previous prime is 41713187267. The next prime is 41713187339. The reversal of 41713187328 is 82378131714.

41713187328 is a `hidden beast` number, since 4 + 1 + 7 + 1 + 318 + 7 + 328 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 382689738 + ... + 382689846.

It is an arithmetic number, because the mean of its divisors is an integer number (216057600).

Almost surely, 2^41713187328 is an apocalyptic number.

41713187328 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 41713187328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69138432000).

41713187328 is an abundant number, since it is smaller than the sum of its proper divisors (96563676672).

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

41713187328 is a wasteful number, since it uses less digits than its factorization.

41713187328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 211 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The spelling of 41713187328 in words is "forty-one billion, seven hundred thirteen million, one hundred eighty-seven thousand, three hundred twenty-eight".