10304000440 has 128 divisors (see below), whose sum is σ = 24523430400. Its totient is φ = 3890718720.

The previous prime is 10304000419. The next prime is 10304000513. The reversal of 10304000440 is 4400040301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15779154 + ... + 15779806.

It is an arithmetic number, because the mean of its divisors is an integer number (191589300).

Almost surely, 2^10304000440 is an apocalyptic number.

10304000440 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 10304000440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12261715200).

10304000440 is an abundant number, since it is smaller than the sum of its proper divisors (14219429960).

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

10304000440 is a wasteful number, since it uses less digits than its factorization.

10304000440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 10304000440 its reverse (4400040301), we get a palindrome (14704040741).

The spelling of 10304000440 in words is "ten billion, three hundred four million, four hundred forty", and thus it is an aban number.