41000868090 has 768 divisors, whose sum is σ = 149339635200. Its totient is φ = 7900913664.

The previous prime is 41000868043. The next prime is 41000868187. The reversal of 41000868090 is 9086800014.

It is a happy number.

41000868090 is a `hidden beast` number, since 410 + 0 + 0 + 86 + 80 + 90 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 108181521 + ... + 108181899.

It is an arithmetic number, because the mean of its divisors is an integer number (194452650).

Almost surely, 2^41000868090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41000868090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74669817600).

41000868090 is an abundant number, since it is smaller than the sum of its proper divisors (108338767110).

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

41000868090 is a wasteful number, since it uses less digits than its factorization.

41000868090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 41000868090 in words is "forty-one billion, eight hundred sixty-eight thousand, ninety".