10330534400 has 120 divisors (see below), whose sum is σ = 25656704964. Its totient is φ = 4122214400.

The previous prime is 10330534397. The next prime is 10330534429. The reversal of 10330534400 is 443503301.

10330534400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2561169664 + 7769364736 = 50608^2 + 88144^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 7589720 + ... + 7591080.

Almost surely, 2^10330534400 is an apocalyptic number.

10330534400 is a gapful number since it is divisible by the number (10) 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 10330534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12828352482).

10330534400 is an abundant number, since it is smaller than the sum of its proper divisors (15326170564).

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

10330534400 is an equidigital number, since it uses as much as digits as its factorization.

10330534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The spelling of 10330534400 in words is "ten billion, three hundred thirty million, five hundred thirty-four thousand, four hundred".