414334431304 has 16 divisors (see below), whose sum is σ = 777012277500. Its totient is φ = 207131157312.

The previous prime is 414334431253. The next prime is 414334431331. The reversal of 414334431304 is 403134433414.

It can be written as a sum of positive squares in 2 ways, for example, as 399927230404 + 14407200900 = 632398^2 + 120030^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 414334431304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4458427 + ... + 4550410.

Almost surely, 2^414334431304 is an apocalyptic number.

It is an amenable number.

414334431304 is a deficient number, since it is larger than the sum of its proper divisors (362677846196).

414334431304 is a wasteful number, since it uses less digits than its factorization.

414334431304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9014592 (or 9014588 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 414334431304 its reverse (403134433414), we get a palindrome (817468864718).

The spelling of 414334431304 in words is "four hundred fourteen billion, three hundred thirty-four million, four hundred thirty-one thousand, three hundred four".