41427847296 has 384 divisors, whose sum is σ = 136440944640. Its totient is φ = 11943106560.

The previous prime is 41427847291. The next prime is 41427847303. The reversal of 41427847296 is 69274872414.

41427847296 is a `hidden beast` number, since 4 + 14 + 2 + 78 + 472 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (41427847291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89476761 + ... + 89477223.

It is an arithmetic number, because the mean of its divisors is an integer number (355314960).

Almost surely, 2^41427847296 is an apocalyptic number.

41427847296 is a gapful number since it is divisible by the number (46) 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 41427847296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68220472320).

41427847296 is an abundant number, since it is smaller than the sum of its proper divisors (95013097344).

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

41427847296 is a wasteful number, since it uses less digits than its factorization.

41427847296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 809 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 41427847296 in words is "forty-one billion, four hundred twenty-seven million, eight hundred forty-seven thousand, two hundred ninety-six".