41805197983872 has 384 divisors, whose sum is σ = 125856804153600. Its totient is φ = 13302627287040.

The previous prime is 41805197983751. The next prime is 41805197983889. The reversal of 41805197983872 is 27838979150814.

41805197983872 is a `hidden beast` number, since 4 + 1 + 8 + 0 + 519 + 7 + 9 + 8 + 38 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×41805197983872² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 41805197983872.

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, 1862384553 + ... + 1862406999.

It is an arithmetic number, because the mean of its divisors is an integer number (327752094150).

Almost surely, 2^{41805197983872} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41805197983872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62928402076800).

41805197983872 is an abundant number, since it is smaller than the sum of its proper divisors (84051606169728).

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

41805197983872 is a wasteful number, since it uses less digits than its factorization.

41805197983872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23124 (or 23109 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 72.

The spelling of 41805197983872 in words is "forty-one trillion, eight hundred five billion, one hundred ninety-seven million, nine hundred eighty-three thousand, eight hundred seventy-two".