41304054314880 has 2560 divisors, whose sum is σ = 180831429504000. Its totient is φ = 8811614896128.

The previous prime is 41304054314863. The next prime is 41304054314881. The reversal of 41304054314880 is 8841345040314.

41304054314880 is a `hidden beast` number, since 4 + 13 + 0 + 4 + 0 + 543 + 14 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41304054314881) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 149112109302 + ... + 149112109578.

It is an arithmetic number, because the mean of its divisors is an integer number (70637277150).

Almost surely, 2^{41304054314880} is an apocalyptic number.

41304054314880 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 41304054314880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90415714752000).

41304054314880 is an abundant number, since it is smaller than the sum of its proper divisors (139527375189120).

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

41304054314880 is an frugal number, since it uses more digits than its factorization.

41304054314880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 41304054314880 in words is "forty-one trillion, three hundred four billion, fifty-four million, three hundred fourteen thousand, eight hundred eighty".