41008638720 has 288 divisors, whose sum is σ = 150125488128. Its totient is φ = 9345613824.

The previous prime is 41008638689. The next prime is 41008638721. The reversal of 41008638720 is 2783680014.

It is not an unprimeable number, because it can be changed into a prime (41008638721) 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 31 ways as a sum of consecutive naturals, for example, 9862882 + ... + 9867038.

It is an arithmetic number, because the mean of its divisors is an integer number (521269056).

Almost surely, 2^41008638720 is an apocalyptic number.

41008638720 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 41008638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75062744064).

41008638720 is an abundant number, since it is smaller than the sum of its proper divisors (109116849408).

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

41008638720 is a wasteful number, since it uses less digits than its factorization.

41008638720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4555 (or 4541 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 41008638720 in words is "forty-one billion, eight million, six hundred thirty-eight thousand, seven hundred twenty".