41779842048 has 264 divisors, whose sum is σ = 138257982720. Its totient is φ = 11903754240.

The previous prime is 41779842011. The next prime is 41779842059. The reversal of 41779842048 is 84024897714.

41779842048 is a `hidden beast` number, since 4 + 177 + 9 + 8 + 420 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 41779841985 and 41779842003.

It is a congruent number.

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, 31674733 + ... + 31676051.

It is an arithmetic number, because the mean of its divisors is an integer number (523704480).

Almost surely, 2^41779842048 is an apocalyptic number.

41779842048 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 41779842048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69128991360).

41779842048 is an abundant number, since it is smaller than the sum of its proper divisors (96478140672).

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

41779842048 is a wasteful number, since it uses less digits than its factorization.

41779842048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1843 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 41779842048 in words is "forty-one billion, seven hundred seventy-nine million, eight hundred forty-two thousand, forty-eight".