41476882608 has 480 divisors, whose sum is σ = 146519193600. Its totient is φ = 10905753600.

The previous prime is 41476882607. The next prime is 41476882609. The reversal of 41476882608 is 80628867414.

It is an interprime number because it is at equal distance from previous prime (41476882607) and next prime (41476882609).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41476882607) 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 95 ways as a sum of consecutive naturals, for example, 39463683 + ... + 39464733.

It is an arithmetic number, because the mean of its divisors is an integer number (305248320).

Almost surely, 2^41476882608 is an apocalyptic number.

41476882608 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 41476882608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73259596800).

41476882608 is an abundant number, since it is smaller than the sum of its proper divisors (105042310992).

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

41476882608 is a wasteful number, since it uses less digits than its factorization.

41476882608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 41476882608 in words is "forty-one billion, four hundred seventy-six million, eight hundred eighty-two thousand, six hundred eight".