41410144422200 has 96 divisors (see below), whose sum is σ = 98354361792960. Its totient is φ = 16207130688000.

The previous prime is 41410144422169. The next prime is 41410144422263. The reversal of 41410144422200 is 222444101414.

It is a super-2 number, since 2×41410144422200² (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 23 ways as a sum of consecutive naturals, for example, 33352550 + ... + 34571850.

It is an arithmetic number, because the mean of its divisors is an integer number (1024524602010).

Almost surely, 2^{41410144422200} is an apocalyptic number.

41410144422200 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 41410144422200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49177180896480).

41410144422200 is an abundant number, since it is smaller than the sum of its proper divisors (56944217370760).

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

41410144422200 is a wasteful number, since it uses less digits than its factorization.

41410144422200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222977 (or 1222968 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 29.

Adding to 41410144422200 its reverse (222444101414), we get a palindrome (41632588523614).

The spelling of 41410144422200 in words is "forty-one trillion, four hundred ten billion, one hundred forty-four million, four hundred twenty-two thousand, two hundred".