414242021345104 has 20 divisors (see below), whose sum is σ = 802596524591700. Its totient is φ = 207120337579520.

The previous prime is 414242021345059. The next prime is 414242021345171. The reversal of 414242021345104 is 401543120242414.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 150536900345104 + 263705121000000 = 12269348^2 + 16239000^2 .

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 36972307 + ... + 46855474.

It is an arithmetic number, because the mean of its divisors is an integer number (40129826229585).

Almost surely, 2^{414242021345104} is an apocalyptic number.

It is an amenable number.

414242021345104 is a deficient number, since it is larger than the sum of its proper divisors (388354503246596).

414242021345104 is a wasteful number, since it uses less digits than its factorization.

414242021345104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84136638 (or 84136632 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 37.

Adding to 414242021345104 its reverse (401543120242414), we get a palindrome (815785141587518).

The spelling of 414242021345104 in words is "four hundred fourteen trillion, two hundred forty-two billion, twenty-one million, three hundred forty-five thousand, one hundred four".