41211005668 has 144 divisors (see below), whose sum is σ = 91699776000. Its totient is φ = 16090389504.

The previous prime is 41211005603. The next prime is 41211005687. The reversal of 41211005668 is 86650011214.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27491583 + ... + 27493081.

It is an arithmetic number, because the mean of its divisors is an integer number (636804000).

Almost surely, 2^41211005668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41211005668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45849888000).

41211005668 is an abundant number, since it is smaller than the sum of its proper divisors (50488770332).

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

41211005668 is a wasteful number, since it uses less digits than its factorization.

41211005668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1794 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The spelling of 41211005668 in words is "forty-one billion, two hundred eleven million, five thousand, six hundred sixty-eight".