41789720448 has 256 divisors, whose sum is σ = 144770150400. Its totient is φ = 11616970752.

The previous prime is 41789720443. The next prime is 41789720461. The reversal of 41789720448 is 84402798714.

41789720448 is a `hidden beast` number, since 4 + 178 + 9 + 7 + 20 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 41789720394 and 41789720403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41789720443) 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 31 ways as a sum of consecutive naturals, for example, 871761 + ... + 918447.

It is an arithmetic number, because the mean of its divisors is an integer number (565508400).

Almost surely, 2^41789720448 is an apocalyptic number.

41789720448 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 41789720448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72385075200).

41789720448 is an abundant number, since it is smaller than the sum of its proper divisors (102980429952).

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

41789720448 is a wasteful number, since it uses less digits than its factorization.

41789720448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46754 (or 46736 counting only the distinct ones).

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

The spelling of 41789720448 in words is "forty-one billion, seven hundred eighty-nine million, seven hundred twenty thousand, four hundred forty-eight".