10408816128800 has 36 divisors (see below), whose sum is σ = 25410522376386. Its totient is φ = 4163526451200.

The previous prime is 10408816128769. The next prime is 10408816128847. The reversal of 10408816128800 is 882161880401.

It can be written as a sum of positive squares in 3 ways, for example, as 8703420424336 + 1705395704464 = 2950156^2 + 1305908^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6505509281 + ... + 6505510880.

Almost surely, 2^{10408816128800} is an apocalyptic number.

10408816128800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10408816128800 is an abundant number, since it is smaller than the sum of its proper divisors (15001706247586).

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

10408816128800 is a wasteful number, since it uses less digits than its factorization.

10408816128800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13011020181 (or 13011020168 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 47.

The spelling of 10408816128800 in words is "ten trillion, four hundred eight billion, eight hundred sixteen million, one hundred twenty-eight thousand, eight hundred".