10468330830400 has 189 divisors, whose sum is σ = 26333654777467. Its totient is φ = 4095858841600.

The previous prime is 10468330830389. The next prime is 10468330830443. The reversal of 10468330830400 is 403803386401.

The square root of 10468330830400 is 3235480.

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 118881523264 + 10349449307136 = 344792^2 + 3217056^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6082701540 + ... + 6082703260.

Almost surely, 2^{10468330830400} is an apocalyptic number.

10468330830400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10468330830400 is the 3235480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10468330830400

10468330830400 is an abundant number, since it is smaller than the sum of its proper divisors (15865323947067).

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

10468330830400 is an frugal number, since it uses more digits than its factorization.

10468330830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3558 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The spelling of 10468330830400 in words is "ten trillion, four hundred sixty-eight billion, three hundred thirty million, eight hundred thirty thousand, four hundred".