41448764448 has 576 divisors, whose sum is σ = 152897310720. Its totient is φ = 10827177984.

The previous prime is 41448764333. The next prime is 41448764459. The reversal of 41448764448 is 84446784414.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 41448764394 and 41448764403.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69896440 + ... + 69897032.

It is an arithmetic number, because the mean of its divisors is an integer number (265446720).

Almost surely, 2^41448764448 is an apocalyptic number.

41448764448 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 41448764448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76448655360).

41448764448 is an abundant number, since it is smaller than the sum of its proper divisors (111448546272).

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

41448764448 is a wasteful number, since it uses less digits than its factorization.

41448764448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 745 counting only the distinct ones).

The product of its digits is 11010048, while the sum is 54.

The spelling of 41448764448 in words is "forty-one billion, four hundred forty-eight million, seven hundred sixty-four thousand, four hundred forty-eight".