30709406401 has 2 divisors, whose sum is σ = 30709406402. Its totient is φ = 30709406400.

The previous prime is 30709406389. The next prime is 30709406411. The reversal of 30709406401 is 10460490703.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18428334001 + 12281072400 = 135751^2 + 110820^2 .

It is a cyclic number.

It is not a de Polignac number, because 30709406401 - 2¹⁷ = 30709275329 is a prime.

It is not a weakly prime, because it can be changed into another prime (30709406411) 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 as a sum of consecutive naturals, namely, 15354703200 + 15354703201.

It is an arithmetic number, because the mean of its divisors is an integer number (15354703201).

Almost surely, 2^30709406401 is an apocalyptic number.

It is an amenable number.

30709406401 is a deficient number, since it is larger than the sum of its proper divisors (1).

30709406401 is an equidigital number, since it uses as much as digits as its factorization.

30709406401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 34.

The spelling of 30709406401 in words is "thirty billion, seven hundred nine million, four hundred six thousand, four hundred one".