314044001000 has 128 divisors (see below), whose sum is σ = 771414658560. Its totient is φ = 119435008000.

The previous prime is 314044000987. The next prime is 314044001017. The reversal of 314044001000 is 100440413.

It is a self number, because there is not a number n which added to its sum of digits gives 314044001000.

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, 3800120 + ... + 3881880.

It is an arithmetic number, because the mean of its divisors is an integer number (6026677020).

Almost surely, 2^314044001000 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 314044001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385707329280).

314044001000 is an abundant number, since it is smaller than the sum of its proper divisors (457370657560).

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

314044001000 is a wasteful number, since it uses less digits than its factorization.

314044001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81972 (or 81958 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 314044001000 its reverse (100440413), we get a palindrome (314144441413).

The spelling of 314044001000 in words is "three hundred fourteen billion, forty-four million, one thousand".