41829162048 has 560 divisors, whose sum is σ = 138294148608. Its totient is φ = 12441600000.

The previous prime is 41829161953. The next prime is 41829162049. The reversal of 41829162048 is 84026192814.

41829162048 is a `hidden beast` number, since 4 + 18 + 2 + 9 + 1 + 620 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 41829161994 and 41829162012.

It is not an unprimeable number, because it can be changed into a prime (41829162049) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 166649923 + ... + 166650173.

Almost surely, 2^41829162048 is an apocalyptic number.

41829162048 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 41829162048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69147074304).

41829162048 is an abundant number, since it is smaller than the sum of its proper divisors (96464986560).

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

41829162048 is a wasteful number, since it uses less digits than its factorization.

41829162048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 41829162048 in words is "forty-one billion, eight hundred twenty-nine million, one hundred sixty-two thousand, forty-eight".