405406504012032 has 54 divisors (see below), whose sum is σ = 1168886895037862. Its totient is φ = 135135501336576.

The previous prime is 405406504012001. The next prime is 405406504012121. The reversal of 405406504012032 is 230210405604504.

405406504012032 is a `hidden beast` number, since 4 + 0 + 5 + 40 + 6 + 5 + 0 + 401 + 203 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 395377273737216 + 10029230274816 = 19884096^2 + 3166896^2 .

It is a super-3 number, since 3×405406504012032³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 87978839713 + ... + 87978844320.

Almost surely, 2^{405406504012032} is an apocalyptic number.

It is an amenable number.

405406504012032 is an abundant number, since it is smaller than the sum of its proper divisors (763480391025830).

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

405406504012032 is a wasteful number, since it uses less digits than its factorization.

405406504012032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175957684055 (or 175957684038 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 405406504012032 its reverse (230210405604504), we get a palindrome (635616909616536).

The spelling of 405406504012032 in words is "four hundred five trillion, four hundred six billion, five hundred four million, twelve thousand, thirty-two".