10304809302840 has 512 divisors, whose sum is σ = 36892267776000. Its totient is φ = 2278225281024.

The previous prime is 10304809302833. The next prime is 10304809302899. The reversal of 10304809302840 is 4820390840301.

It is a junction number, because it is equal to n+sod(n) for n = 10304809302792 and 10304809302801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76967476 + ... + 77101244.

It is an arithmetic number, because the mean of its divisors is an integer number (72055210500).

Almost surely, 2^{10304809302840} is an apocalyptic number.

10304809302840 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 10304809302840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18446133888000).

10304809302840 is an abundant number, since it is smaller than the sum of its proper divisors (26587458473160).

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

10304809302840 is a wasteful number, since it uses less digits than its factorization.

10304809302840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133951 (or 133947 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 10304809302840 in words is "ten trillion, three hundred four billion, eight hundred nine million, three hundred two thousand, eight hundred forty".