314444312140 has 144 divisors (see below), whose sum is σ = 776140468992. Its totient is φ = 106692816384.

The previous prime is 314444312101. The next prime is 314444312153. The reversal of 314444312140 is 41213444413.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37803262 + ... + 37811578.

It is an arithmetic number, because the mean of its divisors is an integer number (5389864368).

Almost surely, 2^314444312140 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 314444312140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388070234496).

314444312140 is an abundant number, since it is smaller than the sum of its proper divisors (461696156852).

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

314444312140 is a wasteful number, since it uses less digits than its factorization.

314444312140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8736 (or 8727 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 314444312140 its reverse (41213444413), we get a palindrome (355657756553).

The spelling of 314444312140 in words is "three hundred fourteen billion, four hundred forty-four million, three hundred twelve thousand, one hundred forty".