410497771401 has 45 divisors (see below), whose sum is σ = 617838481029. Its totient is φ = 271616219136.

The previous prime is 410497771399. The next prime is 410497771423. The reversal of 410497771401 is 104177794014.

The square root of 410497771401 is 640701.

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

410497771401 is a `hidden beast` number, since 4 + 10 + 497 + 7 + 7 + 140 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36614439801 + 373883331600 = 191349^2 + 611460^2 .

It is not a de Polignac number, because 410497771401 - 2¹ = 410497771399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (410497771441) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1481941275 + ... + 1481941551.

Almost surely, 2^410497771401 is an apocalyptic number.

410497771401 is the 640701-st square number.

410497771401 is the 320351-st centered octagonal number.

It is an amenable number.

410497771401 is a deficient number, since it is larger than the sum of its proper divisors (207340709628).

410497771401 is an frugal number, since it uses more digits than its factorization.

410497771401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 410497771401 in words is "four hundred ten billion, four hundred ninety-seven million, seven hundred seventy-one thousand, four hundred one".