10395841600 has 63 divisors (see below), whose sum is σ = 25590307087. Its totient is φ = 4156705280.

The previous prime is 10395841571. The next prime is 10395841627. The reversal of 10395841600 is 614859301.

The square root of 10395841600 is 101960.

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 1326707776 + 9069133824 = 36424^2 + 95232^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10395841600.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4077126 + ... + 4079674.

Almost surely, 2^10395841600 is an apocalyptic number.

10395841600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10395841600 is the 101960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10395841600

10395841600 is an abundant number, since it is smaller than the sum of its proper divisors (15194465487).

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

10395841600 is an frugal number, since it uses more digits than its factorization.

10395841600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5120 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The spelling of 10395841600 in words is "ten billion, three hundred ninety-five million, eight hundred forty-one thousand, six hundred".