314041412000 has 96 divisors (see below), whose sum is σ = 771990657984. Its totient is φ = 125552928000.

The previous prime is 314041411991. The next prime is 314041412039. The reversal of 314041412000 is 214140413.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8313155 + ... + 8350845.

It is an arithmetic number, because the mean of its divisors is an integer number (8041569354).

Almost surely, 2^314041412000 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 314041412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385995328992).

314041412000 is an abundant number, since it is smaller than the sum of its proper divisors (457949245984).

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

314041412000 is a wasteful number, since it uses less digits than its factorization.

314041412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39799 (or 39781 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 314041412000 its reverse (214140413), we get a palindrome (314255552413).

The spelling of 314041412000 in words is "three hundred fourteen billion, forty-one million, four hundred twelve thousand".