4314114243120 has 240 divisors, whose sum is σ = 14764857488640. Its totient is φ = 1041237035520.

The previous prime is 4314114243083. The next prime is 4314114243143. The reversal of 4314114243120 is 213424114134.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×4314114243120² (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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6264861 + ... + 6919299.

It is an arithmetic number, because the mean of its divisors is an integer number (61520239536).

Almost surely, 2^{4314114243120} is an apocalyptic number.

4314114243120 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 4314114243120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7382428744320).

4314114243120 is an abundant number, since it is smaller than the sum of its proper divisors (10450743245520).

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

4314114243120 is a wasteful number, since it uses less digits than its factorization.

4314114243120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654704 (or 654687 counting only the distinct ones).

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

Adding to 4314114243120 its reverse (213424114134), we get a palindrome (4527538357254).

The spelling of 4314114243120 in words is "four trillion, three hundred fourteen billion, one hundred fourteen million, two hundred forty-three thousand, one hundred twenty".