43134820004600 has 288 divisors, whose sum is σ = 106246682277120. Its totient is φ = 16276101120000.

The previous prime is 43134820004593. The next prime is 43134820004609. The reversal of 43134820004600 is 640002843134.

It is a super-2 number, since 2×43134820004600² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43134820004609) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16635100904 + ... + 16635103496.

It is an arithmetic number, because the mean of its divisors is an integer number (368912091240).

Almost surely, 2^{43134820004600} is an apocalyptic number.

43134820004600 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 43134820004600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53123341138560).

43134820004600 is an abundant number, since it is smaller than the sum of its proper divisors (63111862272520).

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

43134820004600 is a wasteful number, since it uses less digits than its factorization.

43134820004600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4823 (or 4783 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

Adding to 43134820004600 its reverse (640002843134), we get a palindrome (43774822847734).

The spelling of 43134820004600 in words is "forty-three trillion, one hundred thirty-four billion, eight hundred twenty million, four thousand, six hundred".