10408808448 has 260 divisors, whose sum is σ = 31457863140. Its totient is φ = 3429236736.

The previous prime is 10408808413. The next prime is 10408808461. The reversal of 10408808448 is 84480880401.

It can be written as a sum of positive squares in 2 ways, for example, as 8177946624 + 2230861824 = 90432^2 + 47232^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45453198 + ... + 45453426.

Almost surely, 2^10408808448 is an apocalyptic number.

10408808448 is a gapful number since it is divisible by the number (18) 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 10408808448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15728931570).

10408808448 is an abundant number, since it is smaller than the sum of its proper divisors (21049054692).

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

10408808448 is an equidigital number, since it uses as much as digits as its factorization.

10408808448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 45.

The spelling of 10408808448 in words is "ten billion, four hundred eight million, eight hundred eight thousand, four hundred forty-eight".