10395465640000 has 735 divisors, whose sum is σ = 30727046403163. Its totient is φ = 3488326464000.

The previous prime is 10395465639967. The next prime is 10395465640009. The reversal of 10395465640000 is 4656459301.

The square root of 10395465640000 is 3224200.

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

It can be written as a sum of positive squares in 2 ways, for example, as 815004506176 + 9580461133824 = 902776^2 + 3095232^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10395465640009) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 221180119977 + ... + 221180120023.

Almost surely, 2^{10395465640000} is an apocalyptic number.

10395465640000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10395465640000 is the 3224200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10395465640000

10395465640000 is an abundant number, since it is smaller than the sum of its proper divisors (20331580763163).

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

10395465640000 is an frugal number, since it uses more digits than its factorization.

10395465640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 43.

The spelling of 10395465640000 in words is "ten trillion, three hundred ninety-five billion, four hundred sixty-five million, six hundred forty thousand".