314401214000 has 160 divisors (see below), whose sum is σ = 798044921856. Its totient is φ = 119569401600.

The previous prime is 314401213967. The next prime is 314401214047. The reversal of 314401214000 is 412104413.

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 31 ways as a sum of consecutive naturals, for example, 7661537 + ... + 7702463.

Almost surely, 2^314401214000 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 314401214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399022460928).

314401214000 is an abundant number, since it is smaller than the sum of its proper divisors (483643707856).

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

314401214000 is a wasteful number, since it uses less digits than its factorization.

314401214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41140 (or 41124 counting only the distinct ones).

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

Adding to 314401214000 its reverse (412104413), we get a palindrome (314813318413).

The spelling of 314401214000 in words is "three hundred fourteen billion, four hundred one million, two hundred fourteen thousand".