41230041465600 has 6480 divisors, whose sum is σ = 193960265748480. Its totient is φ = 8570968473600.

The previous prime is 41230041465589. The next prime is 41230041465601. The reversal of 41230041465600 is 656414003214.

41230041465600 is a `hidden beast` number, since 4 + 1 + 2 + 3 + 0 + 0 + 4 + 1 + 46 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (6480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (41230041465601) by changing a digit.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 877234924777 + ... + 877234924823.

It is an arithmetic number, because the mean of its divisors is an integer number (29932139776).

Almost surely, 2^{41230041465600} is an apocalyptic number.

41230041465600 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 41230041465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96980132874240).

41230041465600 is an abundant number, since it is smaller than the sum of its proper divisors (152730224282880).

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

41230041465600 is a wasteful number, since it uses less digits than its factorization.

41230041465600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 41230041465600 its reverse (656414003214), we get a palindrome (41886455468814).

The spelling of 41230041465600 in words is "forty-one trillion, two hundred thirty billion, forty-one million, four hundred sixty-five thousand, six hundred".