41823782001792 has 192 divisors, whose sum is σ = 139286557612800. Its totient is φ = 11798390403072.

The previous prime is 41823782001779. The next prime is 41823782001811. The reversal of 41823782001792 is 29710028732814.

41823782001792 is a `hidden beast` number, since 4 + 1 + 82 + 378 + 20 + 0 + 179 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×41823782001792² (a number of 28 digits) contains 22 as substring.

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, 32188773 + ... + 33462884.

It is an arithmetic number, because the mean of its divisors is an integer number (725450820900).

Almost surely, 2^{41823782001792} is an apocalyptic number.

41823782001792 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

41823782001792 is an abundant number, since it is smaller than the sum of its proper divisors (97462775611008).

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

41823782001792 is a wasteful number, since it uses less digits than its factorization.

41823782001792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65651763 (or 65651748 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 41823782001792 in words is "forty-one trillion, eight hundred twenty-three billion, seven hundred eighty-two million, one thousand, seven hundred ninety-two".