41648169648000 has 256 divisors, whose sum is σ = 138079069128000. Its totient is φ = 11104940851200.

The previous prime is 41648169647999. The next prime is 41648169648013. The reversal of 41648169648000 is 84696184614.

It is a happy number.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 480388656 + ... + 480475344.

Almost surely, 2^{41648169648000} is an apocalyptic number.

41648169648000 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 41648169648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69039534564000).

41648169648000 is an abundant number, since it is smaller than the sum of its proper divisors (96430899480000).

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

41648169648000 is a wasteful number, since it uses less digits than its factorization.

41648169648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96730 (or 96708 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 57.

The spelling of 41648169648000 in words is "forty-one trillion, six hundred forty-eight billion, one hundred sixty-nine million, six hundred forty-eight thousand".