4314123414120 has 192 divisors, whose sum is σ = 14018742230400. Its totient is φ = 1061618088960.

The previous prime is 4314123414091. The next prime is 4314123414169. The reversal of 4314123414120 is 214143214134.

It is a happy number.

It is a super-2 number, since 2×4314123414120² (a number of 26 digits) contains 22 as substring.

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

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, 71172786 + ... + 71233374.

It is an arithmetic number, because the mean of its divisors is an integer number (73014282450).

Almost surely, 2^{4314123414120} is an apocalyptic number.

4314123414120 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 4314123414120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7009371115200).

4314123414120 is an abundant number, since it is smaller than the sum of its proper divisors (9704618816280).

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

4314123414120 is a wasteful number, since it uses less digits than its factorization.

4314123414120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64140 (or 64123 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 4314123414120 its reverse (214143214134), we get a palindrome (4528266628254).

The spelling of 4314123414120 in words is "four trillion, three hundred fourteen billion, one hundred twenty-three million, four hundred fourteen thousand, one hundred twenty".