41304856320 has 1296 divisors, whose sum is σ = 186179587776. Its totient is φ = 8228044800.

The previous prime is 41304856309. The next prime is 41304856321. The reversal of 41304856320 is 2365840314.

41304856320 is a `hidden beast` number, since 4 + 1 + 30 + 48 + 563 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41304856321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1007435500 + ... + 1007435540.

Almost surely, 2^41304856320 is an apocalyptic number.

41304856320 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 41304856320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93089793888).

41304856320 is an abundant number, since it is smaller than the sum of its proper divisors (144874731456).

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

41304856320 is a wasteful number, since it uses less digits than its factorization.

41304856320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 41304856320 in words is "forty-one billion, three hundred four million, eight hundred fifty-six thousand, three hundred twenty".