41849938636800 has 312 divisors, whose sum is σ = 158133613312896. Its totient is φ = 9565699768320.

The previous prime is 41849938636763. The next prime is 41849938636819. The reversal of 41849938636800 is 863683994814.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7580334 + ... + 11881133.

It is an arithmetic number, because the mean of its divisors is an integer number (506838504208).

Almost surely, 2^{41849938636800} is an apocalyptic number.

41849938636800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41849938636800 is an abundant number, since it is smaller than the sum of its proper divisors (116283674676096).

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

41849938636800 is a wasteful number, since it uses less digits than its factorization.

41849938636800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19461511 (or 19461484 counting only the distinct ones).

The product of its (nonzero) digits is 214990848, while the sum is 69.

The spelling of 41849938636800 in words is "forty-one trillion, eight hundred forty-nine billion, nine hundred thirty-eight million, six hundred thirty-six thousand, eight hundred".