41463138816000 has 3328 divisors, whose sum is σ = 178997752627200. Its totient is φ = 9364045824000.

The previous prime is 41463138815993. The next prime is 41463138816013. The reversal of 41463138816000 is 61883136414.

41463138816000 is a `hidden beast` number, since 4 + 1 + 4 + 6 + 3 + 1 + 38 + 8 + 1 + 600 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 326481407937 + ... + 326481408063.

It is an arithmetic number, because the mean of its divisors is an integer number (53785382400).

Almost surely, 2^{41463138816000} is an apocalyptic number.

41463138816000 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 41463138816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89498876313600).

41463138816000 is an abundant number, since it is smaller than the sum of its proper divisors (137534613811200).

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

41463138816000 is a wasteful number, since it uses less digits than its factorization.

41463138816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 280 counting only the distinct ones).

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

The spelling of 41463138816000 in words is "forty-one trillion, four hundred sixty-three billion, one hundred thirty-eight million, eight hundred sixteen thousand".