314120034020000 has 960 divisors, whose sum is σ = 889077810829824. Its totient is φ = 108186624000000.

The previous prime is 314120034019963. The next prime is 314120034020057. The reversal of 314120034020000 is 20430021413.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 418269019625 + ... + 418269020375.

Almost surely, 2^{314120034020000} 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 314120034020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444538905414912).

314120034020000 is an abundant number, since it is smaller than the sum of its proper divisors (574957776809824).

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

314120034020000 is a wasteful number, since it uses less digits than its factorization.

314120034020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 314120034020000 its reverse (20430021413), we get a palindrome (314140464041413).

The spelling of 314120034020000 in words is "three hundred fourteen trillion, one hundred twenty billion, thirty-four million, twenty thousand".