41506560000 has 480 divisors, whose sum is σ = 153769215600. Its totient is φ = 11059200000.

The previous prime is 41506559999. The next prime is 41506560037. The reversal of 41506560000 is 6560514.

It is a happy number.

41506560000 is a `hidden beast` number, since 4 + 1 + 5 + 0 + 656 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34559400 + ... + 34560600.

Almost surely, 2^41506560000 is an apocalyptic number.

41506560000 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 41506560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76884607800).

41506560000 is an abundant number, since it is smaller than the sum of its proper divisors (112262655600).

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

41506560000 is an equidigital number, since it uses as much as digits as its factorization.

41506560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 41506560000 in words is "forty-one billion, five hundred six million, five hundred sixty thousand".