41211812400000 has 384 divisors, whose sum is σ = 149266235099520. Its totient is φ = 9990739200000.

The previous prime is 41211812399993. The next prime is 41211812400007. The reversal of 41211812400000 is 421811214.

41211812400000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41211812399993) and next prime (41211812400007).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41211812400007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11638947 + ... + 14761053.

It is an arithmetic number, because the mean of its divisors is an integer number (388714153905).

Almost surely, 2^{41211812400000} is an apocalyptic number.

41211812400000 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 41211812400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74633117549760).

41211812400000 is an abundant number, since it is smaller than the sum of its proper divisors (108054422699520).

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

41211812400000 is an equidigital number, since it uses as much as digits as its factorization.

41211812400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3122160 (or 3122128 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The spelling of 41211812400000 in words is "forty-one trillion, two hundred eleven billion, eight hundred twelve million, four hundred thousand".