405340352064 has 112 divisors (see below), whose sum is σ = 1243435501440. Its totient is φ = 129238940160.

The previous prime is 405340352059. The next prime is 405340352069. The reversal of 405340352064 is 460253043504.

405340352064 is a `hidden beast` number, since 40 + 5 + 3 + 403 + 5 + 206 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (405340352059) and next prime (405340352069).

It is a super-2 number, since 2×405340352064² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (405340352069) 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 15 ways as a sum of consecutive naturals, for example, 5059647 + ... + 5139134.

Almost surely, 2^405340352064 is an apocalyptic number.

It is an amenable number.

405340352064 is an abundant number, since it is smaller than the sum of its proper divisors (838095149376).

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

405340352064 is a wasteful number, since it uses less digits than its factorization.

405340352064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10198825 (or 10198809 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 405340352064 its reverse (460253043504), we get a palindrome (865593395568).

The spelling of 405340352064 in words is "four hundred five billion, three hundred forty million, three hundred fifty-two thousand, sixty-four".