41206012224 has 224 divisors, whose sum is σ = 124569809280. Its totient is φ = 11908743168.

The previous prime is 41206012187. The next prime is 41206012277. The reversal of 41206012224 is 42221060214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 41206012194 and 41206012203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40437187 + ... + 40438205.

It is an arithmetic number, because the mean of its divisors is an integer number (556115220).

Almost surely, 2^41206012224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41206012224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62284904640).

41206012224 is an abundant number, since it is smaller than the sum of its proper divisors (83363797056).

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

41206012224 is a wasteful number, since it uses less digits than its factorization.

41206012224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2017 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 41206012224 its reverse (42221060214), we get a palindrome (83427072438).

The spelling of 41206012224 in words is "forty-one billion, two hundred six million, twelve thousand, two hundred twenty-four".