4314340114000 has 320 divisors, whose sum is σ = 12108628426752. Its totient is φ = 1456273728000.

The previous prime is 4314340113997. The next prime is 4314340114003. The reversal of 4314340114000 is 4110434134.

It is an interprime number because it is at equal distance from previous prime (4314340113997) and next prime (4314340114003).

It is a super-2 number, since 2×4314340114000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4314340114003) 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, 232908739 + ... + 232927261.

Almost surely, 2^{4314340114000} is an apocalyptic number.

4314340114000 is a gapful number since it is divisible by the number (40) 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 4314340114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6054314213376).

4314340114000 is an abundant number, since it is smaller than the sum of its proper divisors (7794288312752).

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

4314340114000 is a wasteful number, since it uses less digits than its factorization.

4314340114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18811 (or 18795 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 4314340114000 its reverse (4110434134), we get a palindrome (4318450548134).

The spelling of 4314340114000 in words is "four trillion, three hundred fourteen billion, three hundred forty million, one hundred fourteen thousand".