401779767321 has 15 divisors (see below), whose sum is σ = 600198050991. Its totient is φ = 267849375048.

The previous prime is 401779767313. The next prime is 401779767341. The reversal of 401779767321 is 123767977104.

The square root of 401779767321 is 633861.

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

401779767321 is a `hidden beast` number, since 4 + 0 + 177 + 97 + 67 + 321 = 666.

401779767321 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 199441734921 + 202338032400 = 446589^2 + 449820^2 .

It is not a de Polignac number, because 401779767321 - 2³ = 401779767313 is a prime.

It is a super-2 number, since 2×401779767321² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401779767341) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5669535 + ... + 5739963.

Almost surely, 2^401779767321 is an apocalyptic number.

401779767321 is the 633861-st square number.

401779767321 is the 316931-st centered octagonal number.

It is an amenable number.

401779767321 is a deficient number, since it is larger than the sum of its proper divisors (198418283670).

401779767321 is an frugal number, since it uses more digits than its factorization.

401779767321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140870 (or 70432 counting only the distinct ones).

The product of its (nonzero) digits is 3111696, while the sum is 54.

The spelling of 401779767321 in words is "four hundred one billion, seven hundred seventy-nine million, seven hundred sixty-seven thousand, three hundred twenty-one".