41668940160 has 896 divisors, whose sum is σ = 160111733760. Its totient is φ = 10346434560.

The previous prime is 41668940153. The next prime is 41668940177. The reversal of 41668940160 is 6104986614.

41668940160 is a `hidden beast` number, since 4 + 166 + 89 + 401 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 621924447 + ... + 621924513.

Almost surely, 2^41668940160 is an apocalyptic number.

41668940160 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 41668940160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80055866880).

41668940160 is an abundant number, since it is smaller than the sum of its proper divisors (118442793600).

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

41668940160 is an equidigital number, since it uses as much as digits as its factorization.

41668940160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 41668940160 in words is "forty-one billion, six hundred sixty-eight million, nine hundred forty thousand, one hundred sixty".