314300344030140 has 192 divisors, whose sum is σ = 965663117145216. Its totient is φ = 75902970544128.

The previous prime is 314300344030109. The next prime is 314300344030147. The reversal of 314300344030140 is 41030443003413.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 314300344030098 and 314300344030107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314300344030147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 951357624 + ... + 951687936.

It is an arithmetic number, because the mean of its divisors is an integer number (5029495401798).

Almost surely, 2^{314300344030140} is an apocalyptic number.

314300344030140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314300344030140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482831558572608).

314300344030140 is an abundant number, since it is smaller than the sum of its proper divisors (651362773115076).

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

314300344030140 is a wasteful number, since it uses less digits than its factorization.

314300344030140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353408 (or 353406 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 314300344030140 its reverse (41030443003413), we get a palindrome (355330787033553).

The spelling of 314300344030140 in words is "three hundred fourteen trillion, three hundred billion, three hundred forty-four million, thirty thousand, one hundred forty".