41671560672 has 288 divisors, whose sum is σ = 145297152000. Its totient is φ = 11495167488.

The previous prime is 41671560661. The next prime is 41671560803. The reversal of 41671560672 is 27606517614.

41671560672 is a `hidden beast` number, since 4 + 16 + 7 + 1 + 560 + 6 + 72 = 666.

41671560672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1565329 + ... + 1591727.

It is an arithmetic number, because the mean of its divisors is an integer number (504504000).

Almost surely, 2^41671560672 is an apocalyptic number.

41671560672 is a gapful number since it is divisible by the number (42) 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 41671560672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72648576000).

41671560672 is an abundant number, since it is smaller than the sum of its proper divisors (103625591328).

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

41671560672 is a wasteful number, since it uses less digits than its factorization.

41671560672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26460 (or 26440 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 41671560672 in words is "forty-one billion, six hundred seventy-one million, five hundred sixty thousand, six hundred seventy-two".