30940458201 has 27 divisors (see below), whose sum is σ = 47489112541. Its totient is φ = 19407992064.

The previous prime is 30940458193. The next prime is 30940458229. The reversal of 30940458201 is 10285404903.

The square root of 30940458201 is 175899.

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

30940458201 is a `hidden beast` number, since 30 + 9 + 40 + 4 + 582 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5091536025 + 25848922176 = 71355^2 + 160776^2 .

It is not a de Polignac number, because 30940458201 - 2³ = 30940458193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30940458251) by changing a digit.

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, 8969125 + ... + 8972573.

Almost surely, 2^30940458201 is an apocalyptic number.

30940458201 is the 175899-th square number.

30940458201 is the 87950-th centered octagonal number.

It is an amenable number.

30940458201 is a deficient number, since it is larger than the sum of its proper divisors (16548654340).

30940458201 is an frugal number, since it uses more digits than its factorization.

30940458201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6938 (or 3469 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 30940458201 by its sum of digits (36), we get a square (1113856495236 = 1055394²).

The spelling of 30940458201 in words is "thirty billion, nine hundred forty million, four hundred fifty-eight thousand, two hundred one".