4313344134240 has 144 divisors (see below), whose sum is σ = 14719835461968. Its totient is φ = 1150182233088.

The previous prime is 4313344134199. The next prime is 4313344134271. The reversal of 4313344134240 is 424314433134.

4313344134240 is a `hidden beast` number, since 4 + 3 + 133 + 441 + 3 + 42 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4313344134195 and 4313344134204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64540522 + ... + 64607318.

It is an arithmetic number, because the mean of its divisors is an integer number (102221079597).

Almost surely, 2^{4313344134240} is an apocalyptic number.

4313344134240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4313344134240 is an abundant number, since it is smaller than the sum of its proper divisors (10406491327728).

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

4313344134240 is a wasteful number, since it uses less digits than its factorization.

4313344134240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111661 (or 111650 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 4313344134240 its reverse (424314433134), we get a palindrome (4737658567374).

The spelling of 4313344134240 in words is "four trillion, three hundred thirteen billion, three hundred forty-four million, one hundred thirty-four thousand, two hundred forty".