314043001000 has 256 divisors, whose sum is σ = 802908288000. Its totient is φ = 114515251200.

The previous prime is 314043000977. The next prime is 314043001001. The reversal of 314043001000 is 100340413.

It is not an unprimeable number, because it can be changed into a prime (314043001001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 202216224 + ... + 202217776.

It is an arithmetic number, because the mean of its divisors is an integer number (3136360500).

Almost surely, 2^314043001000 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 314043001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401454144000).

314043001000 is an abundant number, since it is smaller than the sum of its proper divisors (488865287000).

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

314043001000 is a wasteful number, since it uses less digits than its factorization.

314043001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1989 (or 1975 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 314043001000 its reverse (100340413), we get a palindrome (314143341413).

The spelling of 314043001000 in words is "three hundred fourteen billion, forty-three million, one thousand".