41666241576960 has 6720 divisors, whose sum is σ = 218337914479104. Its totient is φ = 7338354278400.

The previous prime is 41666241576937. The next prime is 41666241576983. The reversal of 41666241576960 is 6967514266614.

It is an interprime number because it is at equal distance from previous prime (41666241576937) and next prime (41666241576983).

It is a tau number, because it is divible by the number of its divisors (6720).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 447 ways as a sum of consecutive naturals, for example, 1016249794540 + ... + 1016249794580.

Almost surely, 2^{41666241576960} is an apocalyptic number.

41666241576960 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 41666241576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109168957239552).

41666241576960 is an abundant number, since it is smaller than the sum of its proper divisors (176671672902144).

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

41666241576960 is a wasteful number, since it uses less digits than its factorization.

41666241576960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 41666241576960 in words is "forty-one trillion, six hundred sixty-six billion, two hundred forty-one million, five hundred seventy-six thousand, nine hundred sixty".