414442545244414 has 32 divisors (see below), whose sum is σ = 646566534057600. Its totient is φ = 199095595549440.

The previous prime is 414442545244361. The next prime is 414442545244421.

414442545244414 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68081479 + ... + 73918690.

It is an arithmetic number, because the mean of its divisors is an integer number (20205204189300).

Almost surely, 2^{414442545244414} is an apocalyptic number.

414442545244414 is a deficient number, since it is larger than the sum of its proper divisors (232123988813186).

414442545244414 is a wasteful number, since it uses less digits than its factorization.

414442545244414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142000788.

The product of its digits is 26214400, while the sum is 52.

The spelling of 414442545244414 in words is "four hundred fourteen trillion, four hundred forty-two billion, five hundred forty-five million, two hundred forty-four thousand, four hundred fourteen".