41482785168000 has 1536 divisors, whose sum is σ = 167167317058560. Its totient is φ = 9770803200000.

The previous prime is 41482785167909. The next prime is 41482785168023. The reversal of 41482785168000 is 86158728414.

41482785168000 is a `hidden beast` number, since 4 + 1 + 48 + 2 + 7 + 8 + 516 + 80 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17599822822 + ... + 17599825178.

It is an arithmetic number, because the mean of its divisors is an integer number (108832888710).

Almost surely, 2^{41482785168000} is an apocalyptic number.

41482785168000 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 41482785168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83583658529280).

41482785168000 is an abundant number, since it is smaller than the sum of its proper divisors (125684531890560).

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

41482785168000 is a wasteful number, since it uses less digits than its factorization.

41482785168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2715 (or 2690 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 41482785168000 in words is "forty-one trillion, four hundred eighty-two billion, seven hundred eighty-five million, one hundred sixty-eight thousand".