414344420144 has 40 divisors (see below), whose sum is σ = 818130082752. Its totient is φ = 203215900160.

The previous prime is 414344420129. The next prime is 414344420167. The reversal of 414344420144 is 441024443414.

It is an unprimeable number.

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, 3729884 + ... + 3839364.

Almost surely, 2^414344420144 is an apocalyptic number.

It is an amenable number.

414344420144 is a deficient number, since it is larger than the sum of its proper divisors (403785662608).

414344420144 is a wasteful number, since it uses less digits than its factorization.

414344420144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114005 (or 113999 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 35.

Adding to 414344420144 its reverse (441024443414), we get a palindrome (855368863558).

The spelling of 414344420144 in words is "four hundred fourteen billion, three hundred forty-four million, four hundred twenty thousand, one hundred forty-four".