405152534335212 has 144 divisors (see below), whose sum is σ = 1061816451696000. Its totient is φ = 130168747102464.

The previous prime is 405152534335139. The next prime is 405152534335261. The reversal of 405152534335212 is 212533435251504.

405152534335212 is a `hidden beast` number, since 4 + 0 + 5 + 1 + 5 + 253 + 43 + 352 + 1 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108271039 + ... + 111950537.

It is an arithmetic number, because the mean of its divisors is an integer number (7373725359000).

Almost surely, 2^{405152534335212} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405152534335212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530908225848000).

405152534335212 is an abundant number, since it is smaller than the sum of its proper divisors (656663917360788).

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

405152534335212 is a wasteful number, since it uses less digits than its factorization.

405152534335212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3680492 (or 3680487 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

Adding to 405152534335212 its reverse (212533435251504), we get a palindrome (617685969586716).

The spelling of 405152534335212 in words is "four hundred five trillion, one hundred fifty-two billion, five hundred thirty-four million, three hundred thirty-five thousand, two hundred twelve".