10304341440 has 224 divisors, whose sum is σ = 34549201920. Its totient is φ = 2594820096.

The previous prime is 10304341423. The next prime is 10304341511. The reversal of 10304341440 is 4414340301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10304341440.

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, 7240569 + ... + 7241991.

Almost surely, 2^10304341440 is an apocalyptic number.

10304341440 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 10304341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17274600960).

10304341440 is an abundant number, since it is smaller than the sum of its proper divisors (24244860480).

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

10304341440 is a wasteful number, since it uses less digits than its factorization.

10304341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1859 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10304341440 its reverse (4414340301), we get a palindrome (14718681741).

The spelling of 10304341440 in words is "ten billion, three hundred four million, three hundred forty-one thousand, four hundred forty".