414302312034 has 48 divisors (see below), whose sum is σ = 971563320000. Its totient is φ = 126837029088.

The previous prime is 414302312033. The next prime is 414302312051. The reversal of 414302312034 is 430213203414.

414302312034 is a `hidden beast` number, since 4 + 1 + 430 + 23 + 1 + 203 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 414302311989 and 414302312007.

It is not an unprimeable number, because it can be changed into a prime (414302312033) 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 23 ways as a sum of consecutive naturals, for example, 4401984 + ... + 4495115.

It is an arithmetic number, because the mean of its divisors is an integer number (20240902500).

Almost surely, 2^414302312034 is an apocalyptic number.

414302312034 is an abundant number, since it is smaller than the sum of its proper divisors (557261007966).

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

414302312034 is a wasteful number, since it uses less digits than its factorization.

414302312034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8897319 (or 8897316 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 414302312034 its reverse (430213203414), we get a palindrome (844515515448).

The spelling of 414302312034 in words is "four hundred fourteen billion, three hundred two million, three hundred twelve thousand, thirty-four".