41991769728 has 96 divisors (see below), whose sum is σ = 120892268640. Its totient is φ = 13990703616.

The previous prime is 41991769681. The next prime is 41991769759. The reversal of 41991769728 is 82796719914.

41991769728 is a `hidden beast` number, since 419 + 91 + 7 + 69 + 72 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×41991769728³ (a number of 33 digits) contains 333 as substring.

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 11 ways as a sum of consecutive naturals, for example, 2876175 + ... + 2890737.

It is an arithmetic number, because the mean of its divisors is an integer number (1259294465).

Almost surely, 2^41991769728 is an apocalyptic number.

41991769728 is a gapful number since it is divisible by the number (48) 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 41991769728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60446134320).

41991769728 is an abundant number, since it is smaller than the sum of its proper divisors (78900498912).

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

41991769728 is a wasteful number, since it uses less digits than its factorization.

41991769728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17086 (or 17071 counting only the distinct ones).

The product of its digits is 13716864, while the sum is 63.

The spelling of 41991769728 in words is "forty-one billion, nine hundred ninety-one million, seven hundred sixty-nine thousand, seven hundred twenty-eight".