412717589761 has 27 divisors (see below), whose sum is σ = 430999341129. Its totient is φ = 395202993408.

The previous prime is 412717589741. The next prime is 412717589797. The reversal of 412717589761 is 167985717214.

It is a happy number.

The square root of 412717589761 is 642431.

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

It can be written as a sum of positive squares in 4 ways, for example, as 63791099761 + 348926490000 = 252569^2 + 590700^2 .

It is a de Polignac number, because none of the positive numbers 2^k-412717589761 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 412717589696 and 412717589705.

It is not an unprimeable number, because it can be changed into a prime (412717589701) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2305684770 + ... + 2305684948.

Almost surely, 2^412717589761 is an apocalyptic number.

412717589761 is the 642431-st square number.

412717589761 is the 321216-th centered octagonal number.

It is an amenable number.

412717589761 is a deficient number, since it is larger than the sum of its proper divisors (18281751368).

412717589761 is an frugal number, since it uses more digits than its factorization.

412717589761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 313 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 58.

The spelling of 412717589761 in words is "four hundred twelve billion, seven hundred seventeen million, five hundred eighty-nine thousand, seven hundred sixty-one".