41779347456 has 720 divisors, whose sum is σ = 150612860160. Its totient is φ = 10156769280.

The previous prime is 41779347431. The next prime is 41779347457. The reversal of 41779347456 is 65474397714.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 41779347396 and 41779347405.

It is not an unprimeable number, because it can be changed into a prime (41779347457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 503365591 + ... + 503365673.

It is an arithmetic number, because the mean of its divisors is an integer number (209184528).

Almost surely, 2^41779347456 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 41779347456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75306430080).

41779347456 is an abundant number, since it is smaller than the sum of its proper divisors (108833512704).

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

41779347456 is a wasteful number, since it uses less digits than its factorization.

41779347456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 125 counting only the distinct ones).

The product of its digits is 17781120, while the sum is 57.

The spelling of 41779347456 in words is "forty-one billion, seven hundred seventy-nine million, three hundred forty-seven thousand, four hundred fifty-six".