30430349009641 has 45 divisors (see below), whose sum is σ = 35880795319959. Its totient is φ = 25806289633488.

The previous prime is 30430349009629. The next prime is 30430349009651. The reversal of 30430349009641 is 14690094303403.

The square root of 30430349009641 is 5516371.

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

It can be written as a sum of positive squares in only one way, i.e., 29986521240025 + 443827769616 = 5475995^2 + 666204^2 .

It is not a de Polignac number, because 30430349009641 - 2²⁵ = 30430315455209 is a prime.

It is a super-2 number, since 2×30430349009641² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 30430349009591 and 30430349009600.

It is not an unprimeable number, because it can be changed into a prime (30430349009651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 27841123891 + ... + 27841124983.

Almost surely, 2^{30430349009641} is an apocalyptic number.

30430349009641 is the 5516371-st square number.

30430349009641 is the 2758186-th centered octagonal number.

It is an amenable number.

30430349009641 is a deficient number, since it is larger than the sum of its proper divisors (5450446310318).

30430349009641 is an frugal number, since it uses more digits than its factorization.

30430349009641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 46.

The spelling of 30430349009641 in words is "thirty trillion, four hundred thirty billion, three hundred forty-nine million, nine thousand, six hundred forty-one".