411025878769 has 27 divisors (see below), whose sum is σ = 455816350731. Its totient is φ = 370358157840.

The previous prime is 411025878719. The next prime is 411025878779. The reversal of 411025878769 is 967878520114.

The square root of 411025878769 is 641113.

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., 301689843169 + 109336035600 = 549263^2 + 330660^2 .

It is not a de Polignac number, because 411025878769 - 2¹⁵ = 411025846001 is a prime.

It is a super-2 number, since 2×411025878769² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (411025878719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1177724407 + ... + 1177724755.

Almost surely, 2^411025878769 is an apocalyptic number.

411025878769 is the 641113-rd square number.

411025878769 is the 320557-th centered octagonal number.

It is an amenable number.

411025878769 is a deficient number, since it is larger than the sum of its proper divisors (44790471962).

411025878769 is an frugal number, since it uses more digits than its factorization.

411025878769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 58.

The spelling of 411025878769 in words is "four hundred eleven billion, twenty-five million, eight hundred seventy-eight thousand, seven hundred sixty-nine".