41581416960 has 640 divisors, whose sum is σ = 154500825600. Its totient is φ = 10590289920.

The previous prime is 41581416959. The next prime is 41581416991. The reversal of 41581416960 is 6961418514.

41581416960 is a `hidden beast` number, since 4 + 1 + 581 + 4 + 1 + 6 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 181578126 + ... + 181578354.

It is an arithmetic number, because the mean of its divisors is an integer number (241407540).

Almost surely, 2^41581416960 is an apocalyptic number.

41581416960 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 41581416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77250412800).

41581416960 is an abundant number, since it is smaller than the sum of its proper divisors (112919408640).

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

41581416960 is a wasteful number, since it uses less digits than its factorization.

41581416960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 41581416960 in words is "forty-one billion, five hundred eighty-one million, four hundred sixteen thousand, nine hundred sixty".