409412513779381 has 48 divisors (see below), whose sum is σ = 479657959271280. Its totient is φ = 348426973440000.

The previous prime is 409412513779327. The next prime is 409412513779457. The reversal of 409412513779381 is 183977315214904.

It can be written as a sum of positive squares in 8 ways, for example, as 16891820521156 + 392520693258225 = 4109966^2 + 19812135^2 .

It is not a de Polignac number, because 409412513779381 - 2⁹ = 409412513778869 is a prime.

It is a super-2 number, since 2×409412513779381² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409412513779301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13232023371 + ... + 13232054311.

It is an arithmetic number, because the mean of its divisors is an integer number (9992874151485).

Almost surely, 2^{409412513779381} is an apocalyptic number.

It is an amenable number.

409412513779381 is a deficient number, since it is larger than the sum of its proper divisors (70245445491899).

409412513779381 is a wasteful number, since it uses less digits than its factorization.

409412513779381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34406 (or 34399 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 64.

The spelling of 409412513779381 in words is "four hundred nine trillion, four hundred twelve billion, five hundred thirteen million, seven hundred seventy-nine thousand, three hundred eighty-one".