41001366220800 has 624 divisors, whose sum is σ = 147299856491520. Its totient is φ = 10024058880000.

The previous prime is 41001366220799. The next prime is 41001366220813. The reversal of 41001366220800 is 802266310014.

It is a super-2 number, since 2×41001366220800² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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, 180827500 + ... + 181054100.

Almost surely, 2^{41001366220800} is an apocalyptic number.

41001366220800 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 41001366220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73649928245760).

41001366220800 is an abundant number, since it is smaller than the sum of its proper divisors (106298490270720).

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

41001366220800 is a wasteful number, since it uses less digits than its factorization.

41001366220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226688 (or 226661 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 41001366220800 in words is "forty-one trillion, one billion, three hundred sixty-six million, two hundred twenty thousand, eight hundred".