444214203040314 has 64 divisors (see below), whose sum is σ = 1128277216711680. Its totient is φ = 126905500571760.

The previous prime is 444214203040291. The next prime is 444214203040331. The reversal of 444214203040314 is 413040302412444.

444214203040314 is a `hidden beast` number, since 4 + 4 + 4 + 2 + 14 + 20 + 304 + 0 + 314 = 666.

It is a super-2 number, since 2×444214203040314² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55718332 + ... + 63189879.

It is an arithmetic number, because the mean of its divisors is an integer number (17629331511120).

Almost surely, 2^{444214203040314} is an apocalyptic number.

444214203040314 is an abundant number, since it is smaller than the sum of its proper divisors (684063013671366).

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

444214203040314 is a wasteful number, since it uses less digits than its factorization.

444214203040314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118918112 (or 118918106 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 444214203040314 its reverse (413040302412444), we get a palindrome (857254505452758).

The spelling of 444214203040314 in words is "four hundred forty-four trillion, two hundred fourteen billion, two hundred three million, forty thousand, three hundred fourteen".