41982852096 has 220 divisors, whose sum is σ = 127152598320. Its totient is φ = 13795246080.

The previous prime is 41982852077. The next prime is 41982852101. The reversal of 41982852096 is 69025828914.

It is a happy number.

41982852096 is a `hidden beast` number, since 4 + 1 + 9 + 8 + 28 + 520 + 96 = 666.

It is a super-2 number, since 2×41982852096² (a number of 22 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5885460 + ... + 5892588.

It is an arithmetic number, because the mean of its divisors is an integer number (577966356).

Almost surely, 2^41982852096 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 41982852096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63576299160).

41982852096 is an abundant number, since it is smaller than the sum of its proper divisors (85169746224).

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

41982852096 is an equidigital number, since it uses as much as digits as its factorization.

41982852096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7232 (or 7205 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 41982852096 in words is "forty-one billion, nine hundred eighty-two million, eight hundred fifty-two thousand, ninety-six".