41211223200 has 576 divisors, whose sum is σ = 180370955520. Its totient is φ = 8865054720.

The previous prime is 41211223181. The next prime is 41211223201. The reversal of 41211223200 is 232211214.

It is a happy number.

41211223200 is a `hidden beast` number, since 412 + 11 + 223 + 20 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (41211223201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2562384 + ... + 2578416.

It is an arithmetic number, because the mean of its divisors is an integer number (313144020).

Almost surely, 2^41211223200 is an apocalyptic number.

41211223200 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 41211223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90185477760).

41211223200 is an abundant number, since it is smaller than the sum of its proper divisors (139159732320).

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

41211223200 is a wasteful number, since it uses less digits than its factorization.

41211223200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16086 (or 16067 counting only the distinct ones).

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

Adding to 41211223200 its reverse (232211214), we get a palindrome (41443434414).

The spelling of 41211223200 in words is "forty-one billion, two hundred eleven million, two hundred twenty-three thousand, two hundred".