30722727841 has 27 divisors (see below), whose sum is σ = 33857878041. Its totient is φ = 27865154304.

The previous prime is 30722727809. The next prime is 30722727853. The reversal of 30722727841 is 14872722703.

The square root of 30722727841 is 175279.

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 5613156241 + 25109571600 = 74921^2 + 158460^2 .

It is not a de Polignac number, because 30722727841 - 2⁵ = 30722727809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (30722727881) 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, 221026750 + ... + 221026888.

It is an arithmetic number, because the mean of its divisors is an integer number (1253995483).

Almost surely, 2^30722727841 is an apocalyptic number.

30722727841 is the 175279-th square number.

30722727841 is the 87640-th centered octagonal number.

It is an amenable number.

30722727841 is a deficient number, since it is larger than the sum of its proper divisors (3135150200).

30722727841 is an frugal number, since it uses more digits than its factorization.

30722727841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 43.

The spelling of 30722727841 in words is "thirty billion, seven hundred twenty-two million, seven hundred twenty-seven thousand, eight hundred forty-one".