41097163008 has 288 divisors, whose sum is σ = 124092057600. Its totient is φ = 11960524800.

The previous prime is 41097163007. The next prime is 41097163027. The reversal of 41097163008 is 80036179014.

It is a super-2 number, since 2×41097163008² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (41097163007) 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, 66392523 + ... + 66393141.

It is an arithmetic number, because the mean of its divisors is an integer number (430875200).

Almost surely, 2^41097163008 is an apocalyptic number.

41097163008 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 41097163008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62046028800).

41097163008 is an abundant number, since it is smaller than the sum of its proper divisors (82994894592).

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

41097163008 is a wasteful number, since it uses less digits than its factorization.

41097163008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 41097163008 in words is "forty-one billion, ninety-seven million, one hundred sixty-three thousand, eight".