41378068634112 has 1440 divisors, whose sum is σ = 146708610048000. Its totient is φ = 11179955404800.

The previous prime is 41378068634099. The next prime is 41378068634141. The reversal of 41378068634112 is 21143686087314.

41378068634112 is a `hidden beast` number, since 4 + 1 + 37 + 80 + 68 + 63 + 411 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 69078578389 + ... + 69078578987.

It is an arithmetic number, because the mean of its divisors is an integer number (101880979200).

Almost surely, 2^{41378068634112} is an apocalyptic number.

41378068634112 is a gapful number since it is divisible by the number (42) 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 41378068634112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73354305024000).

41378068634112 is an abundant number, since it is smaller than the sum of its proper divisors (105330541413888).

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

41378068634112 is a wasteful number, since it uses less digits than its factorization.

41378068634112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 41378068634112 in words is "forty-one trillion, three hundred seventy-eight billion, sixty-eight million, six hundred thirty-four thousand, one hundred twelve".