414120031304 has 32 divisors (see below), whose sum is σ = 887915305920. Its totient is φ = 177376965696.

The previous prime is 414120031289. The next prime is 414120031309. The reversal of 414120031304 is 403130021414.

It is a self number, because there is not a number n which added to its sum of digits gives 414120031304.

It is not an unprimeable number, because it can be changed into a prime (414120031309) 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 7 ways as a sum of consecutive naturals, for example, 2049479 + ... + 2242454.

It is an arithmetic number, because the mean of its divisors is an integer number (27747353310).

Almost surely, 2^414120031304 is an apocalyptic number.

It is an amenable number.

414120031304 is an abundant number, since it is smaller than the sum of its proper divisors (473795274616).

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

414120031304 is a wasteful number, since it uses less digits than its factorization.

414120031304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4293669 (or 4293665 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 414120031304 its reverse (403130021414), we get a palindrome (817250052718).

The spelling of 414120031304 in words is "four hundred fourteen billion, one hundred twenty million, thirty-one thousand, three hundred four".