10304014240 has 192 divisors, whose sum is σ = 26942630400. Its totient is φ = 3700629504.

The previous prime is 10304014229. The next prime is 10304014289. The reversal of 10304014240 is 4241040301.

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, 11994931 + ... + 11995789.

It is an arithmetic number, because the mean of its divisors is an integer number (140326200).

Almost surely, 2^10304014240 is an apocalyptic number.

10304014240 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 10304014240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13471315200).

10304014240 is an abundant number, since it is smaller than the sum of its proper divisors (16638616160).

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

10304014240 is a wasteful number, since it uses less digits than its factorization.

10304014240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 10304014240 its reverse (4241040301), we get a palindrome (14545054541).

It can be divided in two parts, 1030401 and 4240, that added together give a triangular number (1034641 = T₁₄₃₈).

The spelling of 10304014240 in words is "ten billion, three hundred four million, fourteen thousand, two hundred forty".