413439998049 has 27 divisors (see below), whose sum is σ = 646701786003. Its totient is φ = 254409182352.

The previous prime is 413439998029. The next prime is 413439998051. The reversal of 413439998049 is 940899934314.

The square root of 413439998049 is 642993.

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

413439998049 is a `hidden beast` number, since 413 + 4 + 3 + 99 + 98 + 0 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 61159763025 + 352280235024 = 247305^2 + 593532^2 .

It is not a de Polignac number, because 413439998049 - 2¹⁹ = 413439473761 is a prime.

It is not an unprimeable number, because it can be changed into a prime (413439998029) 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, 25068484 + ... + 25084970.

Almost surely, 2^413439998049 is an apocalyptic number.

413439998049 is the 642993-rd square number.

413439998049 is the 321497-th centered octagonal number.

It is an amenable number.

413439998049 is a deficient number, since it is larger than the sum of its proper divisors (233261787954).

413439998049 is an frugal number, since it uses more digits than its factorization.

413439998049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33006 (or 16503 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 63.

The spelling of 413439998049 in words is "four hundred thirteen billion, four hundred thirty-nine million, nine hundred ninety-eight thousand, forty-nine".