8240786438329 has 9 divisors (see below), whose sum is σ = 8253727628013. Its totient is φ = 8227865521152.

The previous prime is 8240786438309. The next prime is 8240786438377. The reversal of 8240786438329 is 9238346870428.

The square root of 8240786438329 is 2870677.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 30567277225 + 8210219161104 = 174835^2 + 2865348^2 .

It is not a de Polignac number, because 8240786438329 - 2⁷ = 8240786438201 is a prime.

It is a super-2 number, since 2×8240786438329² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8240786438309) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2207548747 + ... + 2207552479.

It is an arithmetic number, because the mean of its divisors is an integer number (917080847557).

Almost surely, 2^{8240786438329} is an apocalyptic number.

8240786438329 is the 2870677-th square number.

8240786438329 is the 1435339-th centered octagonal number.

It is an amenable number.

8240786438329 is a deficient number, since it is larger than the sum of its proper divisors (12941189684).

8240786438329 is an frugal number, since it uses more digits than its factorization.

8240786438329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9004 (or 4502 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 64.

Multiplying 8240786438329 by its sum of digits (64), we get a square (527410332053056 = 22965416²).

The spelling of 8240786438329 in words is "eight trillion, two hundred forty billion, seven hundred eighty-six million, four hundred thirty-eight thousand, three hundred twenty-nine".