930219741441 has 27 divisors (see below), whose sum is σ = 1381106054601. Its totient is φ = 603316335744.

The previous prime is 930219741433. The next prime is 930219741443. The reversal of 930219741441 is 144147912039.

The square root of 930219741441 is 964479.

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

930219741441 is a `hidden beast` number, since 9 + 3 + 0 + 2 + 197 + 414 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 586350090225 + 343869651216 = 765735^2 + 586404^2 .

It is not a de Polignac number, because 930219741441 - 2³ = 930219741433 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (930219741443) 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 in 26 ways as a sum of consecutive naturals, for example, 107052825 + ... + 107061513.

Almost surely, 2^930219741441 is an apocalyptic number.

930219741441 is the 964479-th square number.

930219741441 is the 482240-th centered octagonal number.

It is an amenable number.

930219741441 is a deficient number, since it is larger than the sum of its proper divisors (450886313160).

930219741441 is an frugal number, since it uses more digits than its factorization.

930219741441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17458 (or 8729 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 930219741441 in words is "nine hundred thirty billion, two hundred nineteen million, seven hundred forty-one thousand, four hundred forty-one".