41668473600 has 864 divisors, whose sum is σ = 167306305600. Its totient is φ = 10212065280.

The previous prime is 41668473569. The next prime is 41668473601. The reversal of 41668473600 is 637486614.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41668473601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 181958286 + ... + 181958514.

Almost surely, 2^41668473600 is an apocalyptic number.

41668473600 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 41668473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83653152800).

41668473600 is an abundant number, since it is smaller than the sum of its proper divisors (125637832000).

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

41668473600 is an equidigital number, since it uses as much as digits as its factorization.

41668473600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 41668473600 in words is "forty-one billion, six hundred sixty-eight million, four hundred seventy-three thousand, six hundred".