419697961281 has 81 divisors (see below), whose sum is σ = 652417084137. Its totient is φ = 259965636480.

The previous prime is 419697961169. The next prime is 419697961399. The reversal of 419697961281 is 182169796914.

The square root of 419697961281 is 647841.

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

419697961281 is a `hidden beast` number, since 4 + 1 + 9 + 6 + 9 + 7 + 9 + 612 + 8 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 804232881 + 418893728400 = 28359^2 + 647220^2 .

It is not a de Polignac number, because 419697961281 - 2³¹ = 417550477633 is a prime.

It is a super-2 number, since 2×419697961281² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (419697960281) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1832742075 + ... + 1832742303.

Almost surely, 2^419697961281 is an apocalyptic number.

419697961281 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

419697961281 is the 647841-st square number.

419697961281 is the 323921-st centered octagonal number.

It is an amenable number.

419697961281 is a deficient number, since it is larger than the sum of its proper divisors (232719122856).

419697961281 is an equidigital number, since it uses as much as digits as its factorization.

419697961281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 296 counting only the distinct ones).

The product of its digits is 11757312, while the sum is 63.

The spelling of 419697961281 in words is "four hundred nineteen billion, six hundred ninety-seven million, nine hundred sixty-one thousand, two hundred eighty-one".