407661785316 has 36 divisors (see below), whose sum is σ = 1031573576124. Its totient is φ = 135742843200.

The previous prime is 407661785309. The next prime is 407661785339. The reversal of 407661785316 is 613587166704.

407661785316 is a `hidden beast` number, since 4 + 0 + 7 + 6 + 617 + 8 + 5 + 3 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 261969948900 + 145691836416 = 511830^2 + 381696^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5983095 + ... + 6050846.

It is an arithmetic number, because the mean of its divisors is an integer number (28654821559).

Almost surely, 2^407661785316 is an apocalyptic number.

It is an amenable number.

407661785316 is an abundant number, since it is smaller than the sum of its proper divisors (623911790808).

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

407661785316 is a wasteful number, since it uses less digits than its factorization.

407661785316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12034892 (or 12034887 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 407661785316 in words is "four hundred seven billion, six hundred sixty-one million, seven hundred eighty-five thousand, three hundred sixteen".