4334131442320 has 80 divisors (see below), whose sum is σ = 10254414233520. Its totient is φ = 1703173478400.

The previous prime is 4334131442317. The next prime is 4334131442321. The reversal of 4334131442320 is 232441314334.

It can be written as a sum of positive squares in 8 ways, for example, as 49695109776 + 4284436332544 = 222924^2 + 2069888^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (4334131442321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3509850 + ... + 4581190.

It is an arithmetic number, because the mean of its divisors is an integer number (128180177919).

Almost surely, 2^{4334131442320} is an apocalyptic number.

4334131442320 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 4334131442320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5127207116760).

4334131442320 is an abundant number, since it is smaller than the sum of its proper divisors (5920282791200).

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

4334131442320 is a wasteful number, since it uses less digits than its factorization.

4334131442320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072244 (or 1072238 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 4334131442320 its reverse (232441314334), we get a palindrome (4566572756654).

The spelling of 4334131442320 in words is "four trillion, three hundred thirty-four billion, one hundred thirty-one million, four hundred forty-two thousand, three hundred twenty".