41948041881600 has 576 divisors, whose sum is σ = 154282372171200. Its totient is φ = 11171641098240.

The previous prime is 41948041881589. The next prime is 41948041881673. The reversal of 41948041881600 is 618814084914.

41948041881600 is a `hidden beast` number, since 4 + 1 + 94 + 8 + 0 + 418 + 81 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1087929522 + ... + 1087968078.

It is an arithmetic number, because the mean of its divisors is an integer number (267851340575).

Almost surely, 2^{41948041881600} is an apocalyptic number.

41948041881600 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 41948041881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77141186085600).

41948041881600 is an abundant number, since it is smaller than the sum of its proper divisors (112334330289600).

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

41948041881600 is a wasteful number, since it uses less digits than its factorization.

41948041881600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39385 (or 39354 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 41948041881600 in words is "forty-one trillion, nine hundred forty-eight billion, forty-one million, eight hundred eighty-one thousand, six hundred".