41005068800 has 120 divisors (see below), whose sum is σ = 101979494100. Its totient is φ = 16339681280.

The previous prime is 41005068763. The next prime is 41005068821. The reversal of 41005068800 is 886050014.

It can be written as a sum of positive squares in 6 ways, for example, as 3517913344 + 37487155456 = 59312^2 + 193616^2 .

It is a super-3 number, since 3×41005068800³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3437246 + ... + 3449154.

Almost surely, 2^41005068800 is an apocalyptic number.

41005068800 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 41005068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50989747050).

41005068800 is an abundant number, since it is smaller than the sum of its proper divisors (60974425300).

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

41005068800 is a wasteful number, since it uses less digits than its factorization.

41005068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12206 (or 12185 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The spelling of 41005068800 in words is "forty-one billion, five million, sixty-eight thousand, eight hundred".