10321014440 has 96 divisors (see below), whose sum is σ = 25598228040. Its totient is φ = 3742379520.

The previous prime is 10321014433. The next prime is 10321014461. The reversal of 10321014440 is 4441012301.

10321014440 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 8754596356 + 1566418084 = 93566^2 + 39578^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 1802462 + ... + 1808178.

Almost surely, 2^10321014440 is an apocalyptic number.

10321014440 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 10321014440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12799114020).

10321014440 is an abundant number, since it is smaller than the sum of its proper divisors (15277213600).

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

10321014440 is a wasteful number, since it uses less digits than its factorization.

10321014440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6123 (or 6108 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10321014440 its reverse (4441012301), we get a palindrome (14762026741).

The spelling of 10321014440 in words is "ten billion, three hundred twenty-one million, fourteen thousand, four hundred forty".