414342012312 has 64 divisors (see below), whose sum is σ = 1175438361600. Its totient is φ = 135175404960.

The previous prime is 414342012283. The next prime is 414342012317. The reversal of 414342012312 is 213210243414.

414342012312 is a `hidden beast` number, since 4 + 1 + 4 + 3 + 420 + 1 + 231 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414342012317) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 20396764 + ... + 20417067.

It is an arithmetic number, because the mean of its divisors is an integer number (18366224400).

Almost surely, 2^414342012312 is an apocalyptic number.

It is an amenable number.

414342012312 is an abundant number, since it is smaller than the sum of its proper divisors (761096349288).

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

414342012312 is a wasteful number, since it uses less digits than its factorization.

414342012312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40813893 (or 40813883 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 414342012312 its reverse (213210243414), we get a palindrome (627552255726).

The spelling of 414342012312 in words is "four hundred fourteen billion, three hundred forty-two million, twelve thousand, three hundred twelve".