41210100131200 has 768 divisors, whose sum is σ = 136826197562880. Its totient is φ = 11844403200000.

The previous prime is 41210100131191. The next prime is 41210100131243. The reversal of 41210100131200 is 213100101214.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3366557080 + ... + 3366569320.

It is an arithmetic number, because the mean of its divisors is an integer number (178159111410).

Almost surely, 2^{41210100131200} is an apocalyptic number.

41210100131200 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 41210100131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68413098781440).

41210100131200 is an abundant number, since it is smaller than the sum of its proper divisors (95616097431680).

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

41210100131200 is a wasteful number, since it uses less digits than its factorization.

41210100131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13347 (or 13330 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 41210100131200 its reverse (213100101214), we get a palindrome (41423200232414).

The spelling of 41210100131200 in words is "forty-one trillion, two hundred ten billion, one hundred million, one hundred thirty-one thousand, two hundred".