41134845600 has 648 divisors, whose sum is σ = 159829137468. Its totient is φ = 10301644800.

The previous prime is 41134845559. The next prime is 41134845601. The reversal of 41134845600 is 654843114.

41134845600 is a `hidden beast` number, since 4 + 1 + 1 + 3 + 4 + 8 + 45 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 17049047184 + 24085798416 = 130572^2 + 155196^2 .

It is a tau number, because it is divible by the number of its divisors (648).

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 (41134845601) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 89229370 + ... + 89229830.

Almost surely, 2^41134845600 is an apocalyptic number.

41134845600 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 41134845600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79914568734).

41134845600 is an abundant number, since it is smaller than the sum of its proper divisors (118694291868).

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

41134845600 is an equidigital number, since it uses as much as digits as its factorization.

41134845600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 41134845600 in words is "forty-one billion, one hundred thirty-four million, eight hundred forty-five thousand, six hundred".