41193538848000 has 8064 divisors, whose sum is σ = 216806296412160. Its totient is φ = 7524679680000.

The previous prime is 41193538847999. The next prime is 41193538848043. The reversal of 41193538848000 is 84883539114.

41193538848000 is a `hidden beast` number, since 4 + 11 + 93 + 538 + 8 + 4 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8064).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 895 ways as a sum of consecutive naturals, for example, 580190687965 + ... + 580190688035.

It is an arithmetic number, because the mean of its divisors is an integer number (26885701440).

Almost surely, 2^{41193538848000} is an apocalyptic number.

41193538848000 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 41193538848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108403148206080).

41193538848000 is an abundant number, since it is smaller than the sum of its proper divisors (175612757564160).

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

41193538848000 is a wasteful number, since it uses less digits than its factorization.

41193538848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 41193538848000 in words is "forty-one trillion, one hundred ninety-three billion, five hundred thirty-eight million, eight hundred forty-eight thousand".