413167413961 has 9 divisors (see below), whose sum is σ = 431927704621. Its totient is φ = 395189472172.

The previous prime is 413167413943. The next prime is 413167413991. The reversal of 413167413961 is 169314761314.

The square root of 413167413961 is 642781.

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

It is not a de Polignac number, because 413167413961 - 2¹³ = 413167405769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413167413991) 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 8 ways as a sum of consecutive naturals, for example, 14769990 + ... + 14797936.

Almost surely, 2^413167413961 is an apocalyptic number.

413167413961 is the 642781-st square number.

413167413961 is the 321391-st centered octagonal number.

It is an amenable number.

413167413961 is a deficient number, since it is larger than the sum of its proper divisors (18760290660).

413167413961 is an frugal number, since it uses more digits than its factorization.

413167413961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55940 (or 27970 counting only the distinct ones).

The product of its digits is 326592, while the sum is 46.

The spelling of 413167413961 in words is "four hundred thirteen billion, one hundred sixty-seven million, four hundred thirteen thousand, nine hundred sixty-one".