4690343118400 has 189 divisors, whose sum is σ = 11959275872739. Its totient is φ = 1810472616960.

The previous prime is 4690343118389. The next prime is 4690343118407. The reversal of 4690343118400 is 48113430964.

The square root of 4690343118400 is 2165720.

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 64471303744 + 4625871814656 = 253912^2 + 2150784^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4690343118407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2512234267 + ... + 2512236133.

Almost surely, 2^{4690343118400} is an apocalyptic number.

4690343118400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4690343118400 is the 2165720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4690343118400

4690343118400 is an abundant number, since it is smaller than the sum of its proper divisors (7268932754339).

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

4690343118400 is an frugal number, since it uses more digits than its factorization.

4690343118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3814 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The spelling of 4690343118400 in words is "four trillion, six hundred ninety billion, three hundred forty-three million, one hundred eighteen thousand, four hundred".