409434896641 has 9 divisors (see below), whose sum is σ = 423089022339. Its totient is φ = 396208123200.

The previous prime is 409434896639. The next prime is 409434896683. The reversal of 409434896641 is 146698434904.

The square root of 409434896641 is 639871.

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

It can be written as a sum of positive squares in only one way, i.e., 63973079041 + 345461817600 = 252929^2 + 587760^2 .

It is not a de Polignac number, because 409434896641 - 2¹ = 409434896639 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (409434896041) 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, 19825681 + ... + 19846321.

It is an arithmetic number, because the mean of its divisors is an integer number (47009891371).

Almost surely, 2^409434896641 is an apocalyptic number.

409434896641 is the 639871-st square number.

409434896641 is the 319936-th centered octagonal number.

It is an amenable number.

409434896641 is a deficient number, since it is larger than the sum of its proper divisors (13654125698).

409434896641 is an frugal number, since it uses more digits than its factorization.

409434896641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41344 (or 20672 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 58.

The spelling of 409434896641 in words is "four hundred nine billion, four hundred thirty-four million, eight hundred ninety-six thousand, six hundred forty-one".