41628008448 has 408 divisors, whose sum is σ = 133110464760. Its totient is φ = 12457082880.

The previous prime is 41628008441. The next prime is 41628008483. The reversal of 41628008448 is 84480082614.

It can be written as a sum of positive squares in 4 ways, for example, as 2973302784 + 38654705664 = 54528^2 + 196608^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41628008441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 467730388 + ... + 467730476.

Almost surely, 2^41628008448 is an apocalyptic number.

41628008448 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 41628008448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66555232380).

41628008448 is an abundant number, since it is smaller than the sum of its proper divisors (91482456312).

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

41628008448 is an equidigital number, since it uses as much as digits as its factorization.

41628008448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 41628008448 in words is "forty-one billion, six hundred twenty-eight million, eight thousand, four hundred forty-eight".