4314134320300 has 144 divisors (see below), whose sum is σ = 10964767584960. Its totient is φ = 1442428416000.

The previous prime is 4314134320211. The next prime is 4314134320313. The reversal of 4314134320300 is 30234314134.

It is a super-2 number, since 2×4314134320300² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68532840 + ... + 68595760.

It is an arithmetic number, because the mean of its divisors is an integer number (76144219340).

Almost surely, 2^{4314134320300} 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 4314134320300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5482383792480).

4314134320300 is an abundant number, since it is smaller than the sum of its proper divisors (6650633264660).

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

4314134320300 is a wasteful number, since it uses less digits than its factorization.

4314134320300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65372 (or 65365 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 4314134320300 its reverse (30234314134), we get a palindrome (4344368634434).

The spelling of 4314134320300 in words is "four trillion, three hundred fourteen billion, one hundred thirty-four million, three hundred twenty thousand, three hundred".