10321010440 has 64 divisors (see below), whose sum is σ = 25168091760. Its totient is φ = 3786531840.

The previous prime is 10321010429. The next prime is 10321010443. The reversal of 10321010440 is 4401012301.

It can be written as a sum of positive squares in 8 ways, for example, as 2920537764 + 7400472676 = 54042^2 + 86026^2 .

It is not an unprimeable number, because it can be changed into a prime (10321010443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18430 + ... + 144850.

Almost surely, 2^10321010440 is an apocalyptic number.

10321010440 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 10321010440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12584045880).

10321010440 is an abundant number, since it is smaller than the sum of its proper divisors (14847081320).

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

10321010440 is a wasteful number, since it uses less digits than its factorization.

10321010440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126602 (or 126598 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10321010440 its reverse (4401012301), we get a palindrome (14722022741).

The spelling of 10321010440 in words is "ten billion, three hundred twenty-one million, ten thousand, four hundred forty".