41211100000 has 288 divisors, whose sum is σ = 117148876992. Its totient is φ = 13977600000.

The previous prime is 41211099953. The next prime is 41211100009. The reversal of 41211100000 is 111214.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 41211100000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41211100009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79099740 + ... + 79100260.

It is an arithmetic number, because the mean of its divisors is an integer number (406766934).

Almost surely, 2^41211100000 is an apocalyptic number.

41211100000 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 41211100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58574438496).

41211100000 is an abundant number, since it is smaller than the sum of its proper divisors (75937776992).

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

41211100000 is an equidigital number, since it uses as much as digits as its factorization.

41211100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 41211100000 its reverse (111214), we get a palindrome (41211211214).

The spelling of 41211100000 in words is "forty-one billion, two hundred eleven million, one hundred thousand".