314214123040304 has 80 divisors (see below), whose sum is σ = 650902398580224. Its totient is φ = 146577409651200.

The previous prime is 314214123040289. The next prime is 314214123040399. The reversal of 314214123040304 is 403040321412413.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63442349 + ... + 68215539.

Almost surely, 2^{314214123040304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314214123040304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325451199290112).

314214123040304 is an abundant number, since it is smaller than the sum of its proper divisors (336688275539920).

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

314214123040304 is a wasteful number, since it uses less digits than its factorization.

314214123040304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4777626 (or 4777620 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 314214123040304 its reverse (403040321412413), we get a palindrome (717254444452717).

The spelling of 314214123040304 in words is "three hundred fourteen trillion, two hundred fourteen billion, one hundred twenty-three million, forty thousand, three hundred four".