41166268416000 has 3840 divisors, whose sum is σ = 191537280829440. Its totient is φ = 8599633920000.

The previous prime is 41166268415983. The next prime is 41166268416001. The reversal of 41166268416000 is 61486266114.

41166268416000 is a `hidden beast` number, since 4 + 1 + 1 + 6 + 626 + 8 + 4 + 16 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is not an unprimeable number, because it can be changed into a prime (41166268416001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 407586815950 + ... + 407586816050.

It is an arithmetic number, because the mean of its divisors is an integer number (49879500216).

Almost surely, 2^{41166268416000} is an apocalyptic number.

41166268416000 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 41166268416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95768640414720).

41166268416000 is an abundant number, since it is smaller than the sum of its proper divisors (150371012413440).

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

41166268416000 is an frugal number, since it uses more digits than its factorization.

41166268416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 41166268416000 in words is "forty-one trillion, one hundred sixty-six billion, two hundred sixty-eight million, four hundred sixteen thousand".