404066460240 has 60 divisors (see below), whose sum is σ = 1356989864724. Its totient is φ = 107751055872.

The previous prime is 404066460229. The next prime is 404066460247. The reversal of 404066460240 is 42064660404.

It is a happy number.

404066460240 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 6 + 6 + 4 + 602 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 98222067216 + 305844393024 = 313404^2 + 553032^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 404066460195 and 404066460204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404066460247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 280600989 + ... + 280602428.

Almost surely, 2^404066460240 is an apocalyptic number.

404066460240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404066460240 is an abundant number, since it is smaller than the sum of its proper divisors (952923404484).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

404066460240 is a wasteful number, since it uses less digits than its factorization.

404066460240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561203436 (or 561203427 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 404066460240 in words is "four hundred four billion, sixty-six million, four hundred sixty thousand, two hundred forty".