41378384649600 has 1536 divisors, whose sum is σ = 164950156800000. Its totient is φ = 10091431526400.

The previous prime is 41378384649571. The next prime is 41378384649607. The reversal of 41378384649600 is 694648387314.

It is a happy number.

41378384649600 is a `hidden beast` number, since 4 + 1 + 3 + 7 + 83 + 8 + 464 + 96 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41378384649607) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28956181686 + ... + 28956183114.

It is an arithmetic number, because the mean of its divisors is an integer number (107389425000).

Almost surely, 2^{41378384649600} is an apocalyptic number.

41378384649600 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 41378384649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82475078400000).

41378384649600 is an abundant number, since it is smaller than the sum of its proper divisors (123571772150400).

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

41378384649600 is a wasteful number, since it uses less digits than its factorization.

41378384649600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2081 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 41378384649600 in words is "forty-one trillion, three hundred seventy-eight billion, three hundred eighty-four million, six hundred forty-nine thousand, six hundred".