10320200442 has 80 divisors (see below), whose sum is σ = 23473249800. Its totient is φ = 3388625280.

The previous prime is 10320200437. The next prime is 10320200461. The reversal of 10320200442 is 24400202301.

10320200442 is a `hidden beast` number, since 1 + 0 + 3 + 20 + 200 + 442 = 666.

10320200442 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 4 ways, for example, as 5689534041 + 4630666401 = 75429^2 + 68049^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 39 ways as a sum of consecutive naturals, for example, 3194484 + ... + 3197712.

Almost surely, 2^10320200442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10320200442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11736624900).

10320200442 is an abundant number, since it is smaller than the sum of its proper divisors (13153049358).

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

10320200442 is a wasteful number, since it uses less digits than its factorization.

10320200442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3533 (or 3524 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 10320200442 its reverse (24400202301), we get a palindrome (34720402743).

The spelling of 10320200442 in words is "ten billion, three hundred twenty million, two hundred thousand, four hundred forty-two".