41312221200 has 90 divisors (see below), whose sum is σ = 143364895674. Its totient is φ = 11016591360.

The previous prime is 41312221199. The next prime is 41312221231. The reversal of 41312221200 is 212221314.

It is a happy number.

41312221200 is a `hidden beast` number, since 413 + 12 + 221 + 20 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 140564736 + 41171656464 = 11856^2 + 202908^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5734209 + ... + 5741408.

Almost surely, 2^41312221200 is an apocalyptic number.

41312221200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41312221200 is an abundant number, since it is smaller than the sum of its proper divisors (102052674474).

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

41312221200 is a wasteful number, since it uses less digits than its factorization.

41312221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11475641 (or 11475627 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 41312221200 its reverse (212221314), we get a palindrome (41524442514).

The spelling of 41312221200 in words is "forty-one billion, three hundred twelve million, two hundred twenty-one thousand, two hundred".