6193030416400 has 45 divisors (see below), whose sum is σ = 14878875152631. Its totient is φ = 2477192257920.

The previous prime is 6193030416379. The next prime is 6193030416403. The reversal of 6193030416400 is 46140303916.

The square root of 6193030416400 is 2488580.

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 2906438509584 + 3286591906816 = 1704828^2 + 1812896^2 .

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 6193030416400.

It is not an unprimeable number, because it can be changed into a prime (6193030416403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 49709386 + ... + 49833814.

Almost surely, 2^{6193030416400} is an apocalyptic number.

6193030416400 is the 2488580-th square number.

It is an amenable number.

6193030416400 is an abundant number, since it is smaller than the sum of its proper divisors (8685844736231).

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

6193030416400 is an frugal number, since it uses more digits than its factorization.

6193030416400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248876 (or 124436 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The spelling of 6193030416400 in words is "six trillion, one hundred ninety-three billion, thirty million, four hundred sixteen thousand, four hundred".