4314342040300 has 144 divisors (see below), whose sum is σ = 10465552974240. Its totient is φ = 1534167613440.

The previous prime is 4314342040271. The next prime is 4314342040313. The reversal of 4314342040300 is 30402434134.

4314342040300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4314342040300² (a number of 26 digits) contains 22 as substring.

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, 10686924 + ... + 11083276.

It is an arithmetic number, because the mean of its divisors is an integer number (72677451210).

Almost surely, 2^{4314342040300} 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 4314342040300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5232776487120).

4314342040300 is an abundant number, since it is smaller than the sum of its proper divisors (6151210933940).

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

4314342040300 is a wasteful number, since it uses less digits than its factorization.

4314342040300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396740 (or 396733 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 4314342040300 its reverse (30402434134), we get a palindrome (4344744474434).

The spelling of 4314342040300 in words is "four trillion, three hundred fourteen billion, three hundred forty-two million, forty thousand, three hundred".