434440492641 has 9 divisors (see below), whose sum is σ = 627528012241. Its totient is φ = 289625676852.

The previous prime is 434440492597. The next prime is 434440492667. The reversal of 434440492641 is 146294044434.

The square root of 434440492641 is 659121.

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

434440492641 is a `hidden beast` number, since 4 + 344 + 4 + 0 + 49 + 264 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 434440492641 - 2¹⁹ = 434439968353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (434440492741) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1867510 + ... + 2087216.

Almost surely, 2^434440492641 is an apocalyptic number.

434440492641 is the 659121-st square number.

434440492641 is the 329561-st centered octagonal number.

It is an amenable number.

434440492641 is a deficient number, since it is larger than the sum of its proper divisors (193087519600).

434440492641 is an frugal number, since it uses more digits than its factorization.

434440492641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439420 (or 219710 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 434440492641 in words is "four hundred thirty-four billion, four hundred forty million, four hundred ninety-two thousand, six hundred forty-one".