401001763009 has 9 divisors (see below), whose sum is σ = 407951609443. Its totient is φ = 394168394632.

The previous prime is 401001762991. The next prime is 401001763037. The reversal of 401001763009 is 900367100104.

It is a happy number.

The square root of 401001763009 is 633247.

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., 32275919025 + 368725843984 = 179655^2 + 607228^2 .

It is not a de Polignac number, because 401001763009 - 2¹⁷ = 401001631937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (401001763079) 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, 37356207 + ... + 37366939.

Almost surely, 2^401001763009 is an apocalyptic number.

401001763009 is the 633247-th square number.

401001763009 is the 316624-th centered octagonal number.

It is an amenable number.

401001763009 is a deficient number, since it is larger than the sum of its proper divisors (6949846434).

401001763009 is an frugal number, since it uses more digits than its factorization.

401001763009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21584 (or 10792 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The spelling of 401001763009 in words is "four hundred one billion, one million, seven hundred sixty-three thousand, nine".