41217412320 has 432 divisors, whose sum is σ = 169268823360. Its totient is φ = 9095804928.

The previous prime is 41217412319. The next prime is 41217412333. The reversal of 41217412320 is 2321471214.

41217412320 is a `hidden beast` number, since 4 + 1 + 217 + 412 + 32 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2036169 + ... + 2056311.

It is an arithmetic number, because the mean of its divisors is an integer number (391825980).

Almost surely, 2^41217412320 is an apocalyptic number.

41217412320 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 41217412320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84634411680).

41217412320 is an abundant number, since it is smaller than the sum of its proper divisors (128051411040).

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

41217412320 is a wasteful number, since it uses less digits than its factorization.

41217412320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20207 (or 20189 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 41217412320 its reverse (2321471214), we get a palindrome (43538883534).

The spelling of 41217412320 in words is "forty-one billion, two hundred seventeen million, four hundred twelve thousand, three hundred twenty".