41221428066 has 576 divisors, whose sum is σ = 125518377600. Its totient is φ = 9921864960.

The previous prime is 41221428043. The next prime is 41221428077. The reversal of 41221428066 is 66082412214.

41221428066 is a `hidden beast` number, since 4 + 1 + 221 + 428 + 0 + 6 + 6 = 666.

41221428066 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41221428066² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 41221428066.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 958637841 + ... + 958637883.

It is an arithmetic number, because the mean of its divisors is an integer number (217913850).

Almost surely, 2^41221428066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41221428066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62759188800).

41221428066 is an abundant number, since it is smaller than the sum of its proper divisors (84296949534).

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

41221428066 is a wasteful number, since it uses less digits than its factorization.

41221428066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 41221428066 in words is "forty-one billion, two hundred twenty-one million, four hundred twenty-eight thousand, sixty-six".