41214214112200 has 192 divisors, whose sum is σ = 103125942374400. Its totient is φ = 15268880390400.

The previous prime is 41214214112171. The next prime is 41214214112213. The reversal of 41214214112200 is 221141241214.

It is a super-2 number, since 2×41214214112200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162577947 + ... + 162831253.

It is an arithmetic number, because the mean of its divisors is an integer number (537114283200).

Almost surely, 2^{41214214112200} is an apocalyptic number.

41214214112200 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 41214214112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51562971187200).

41214214112200 is an abundant number, since it is smaller than the sum of its proper divisors (61911728262200).

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

41214214112200 is a wasteful number, since it uses less digits than its factorization.

41214214112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254300 (or 254291 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

Adding to 41214214112200 its reverse (221141241214), we get a palindrome (41435355353414).

The spelling of 41214214112200 in words is "forty-one trillion, two hundred fourteen billion, two hundred fourteen million, one hundred twelve thousand, two hundred".