413241979921 has 9 divisors (see below), whose sum is σ = 423593900283. Its totient is φ = 403137193680.

The previous prime is 413241979861. The next prime is 413241980033. The reversal of 413241979921 is 129979142314.

The square root of 413241979921 is 642839.

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., 19912314321 + 393329665600 = 141111^2 + 627160^2 .

It is not a de Polignac number, because 413241979921 - 2²⁹ = 412705109009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413241979621) 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, 26348560 + ... + 26364238.

Almost surely, 2^413241979921 is an apocalyptic number.

413241979921 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

413241979921 is the 642839-th square number.

413241979921 is the 321420-th centered octagonal number.

It is an amenable number.

413241979921 is a deficient number, since it is larger than the sum of its proper divisors (10351920362).

413241979921 is an frugal number, since it uses more digits than its factorization.

413241979921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31440 (or 15720 counting only the distinct ones).

The product of its digits is 979776, while the sum is 52.

The spelling of 413241979921 in words is "four hundred thirteen billion, two hundred forty-one million, nine hundred seventy-nine thousand, nine hundred twenty-one".