41001303211000 has 256 divisors, whose sum is σ = 109233762693120. Its totient is φ = 14258977920000.

The previous prime is 41001303210883. The next prime is 41001303211003. The reversal of 41001303211000 is 11230310014.

It is a super-2 number, since 2×41001303211000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41001303211003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2375914372 + ... + 2375931628.

It is an arithmetic number, because the mean of its divisors is an integer number (426694385520).

Almost surely, 2^{41001303211000} is an apocalyptic number.

41001303211000 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 41001303211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54616881346560).

41001303211000 is an abundant number, since it is smaller than the sum of its proper divisors (68232459482120).

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

41001303211000 is a wasteful number, since it uses less digits than its factorization.

41001303211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26703 (or 26689 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 41001303211000 its reverse (11230310014), we get a palindrome (41012533521014).

The spelling of 41001303211000 in words is "forty-one trillion, one billion, three hundred three million, two hundred eleven thousand".