407961960961 has 3 divisors (see below), whose sum is σ = 407962599681. Its totient is φ = 407961322242.

The previous prime is 407961960941. The next prime is 407961961013. The reversal of 407961960961 is 169069169704.

The square root of 407961960961 is 638719.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 407961960961 - 2⁹ = 407961960449 is a prime.

It is a super-2 number, since 2×407961960961² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 407961960896 and 407961960905.

It is not an unprimeable number, because it can be changed into a prime (407961960941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 319360 + ... + 958078.

It is an arithmetic number, because the mean of its divisors is an integer number (135987533227).

Almost surely, 2^407961960961 is an apocalyptic number.

407961960961 is the 638719-th square number.

407961960961 is the 319360-th centered octagonal number.

It is an amenable number.

407961960961 is a deficient number, since it is larger than the sum of its proper divisors (638720).

407961960961 is an frugal number, since it uses more digits than its factorization.

407961960961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277438 (or 638719 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 58.

The spelling of 407961960961 in words is "four hundred seven billion, nine hundred sixty-one million, nine hundred sixty thousand, nine hundred sixty-one".