405076435668 has 18 divisors (see below), whose sum is σ = 1023943212474. Its totient is φ = 135025478544.

The previous prime is 405076435627. The next prime is 405076435669. The reversal of 405076435668 is 866534670504.

405076435668 is a `hidden beast` number, since 4 + 0 + 5 + 0 + 76 + 4 + 3 + 566 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 318488665104 + 86587770564 = 564348^2 + 294258^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405076435669) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5626061571 + ... + 5626061642.

Almost surely, 2^405076435668 is an apocalyptic number.

It is an amenable number.

405076435668 is an abundant number, since it is smaller than the sum of its proper divisors (618866776806).

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

405076435668 is a wasteful number, since it uses less digits than its factorization.

405076435668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11252123223 (or 11252123218 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 405076435668 in words is "four hundred five billion, seventy-six million, four hundred thirty-five thousand, six hundred sixty-eight".