43248242688000 has 2048 divisors, whose sum is σ = 171856199024640. Its totient is φ = 9453227212800.

The previous prime is 43248242687987. The next prime is 43248242688047. The reversal of 43248242688000 is 88624284234.

It is a tau number, because it is divible by the number of its divisors (2048).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 340537343937 + ... + 340537344063.

It is an arithmetic number, because the mean of its divisors is an integer number (83914159680).

Almost surely, 2^{43248242688000} is an apocalyptic number.

43248242688000 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 43248242688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85928099512320).

43248242688000 is an abundant number, since it is smaller than the sum of its proper divisors (128607956336640).

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

43248242688000 is a wasteful number, since it uses less digits than its factorization.

43248242688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 51.

The spelling of 43248242688000 in words is "forty-three trillion, two hundred forty-eight billion, two hundred forty-two million, six hundred eighty-eight thousand".