4314140034120 has 96 divisors (see below), whose sum is σ = 16023948707520. Its totient is φ = 986089150080.

The previous prime is 4314140034109. The next prime is 4314140034161. The reversal of 4314140034120 is 214300414134.

4314140034120 is a `hidden beast` number, since 4 + 314 + 1 + 4 + 0 + 0 + 341 + 2 + 0 = 666.

It is a super-3 number, since 3×4314140034120³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 855977646 + ... + 855982685.

It is an arithmetic number, because the mean of its divisors is an integer number (166916132370).

Almost surely, 2^{4314140034120} is an apocalyptic number.

4314140034120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4314140034120 is an abundant number, since it is smaller than the sum of its proper divisors (11709808673400).

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

4314140034120 is a wasteful number, since it uses less digits than its factorization.

4314140034120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1711960355 (or 1711960348 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 4314140034120 its reverse (214300414134), we get a palindrome (4528440448254).

The spelling of 4314140034120 in words is "four trillion, three hundred fourteen billion, one hundred forty million, thirty-four thousand, one hundred twenty".