4248009360000 has 3840 divisors, whose sum is σ = 20042704281600. Its totient is φ = 873400320000.

The previous prime is 4248009359999. The next prime is 4248009360011. The reversal of 4248009360000 is 639008424.

It is a happy number.

4248009360000 is a `hidden beast` number, since 4 + 2 + 48 + 0 + 0 + 9 + 3 + 600 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 80151119974 + ... + 80151120026.

It is an arithmetic number, because the mean of its divisors is an integer number (5219454240).

Almost surely, 2^{4248009360000} is an apocalyptic number.

4248009360000 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 4248009360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10021352140800).

4248009360000 is an abundant number, since it is smaller than the sum of its proper divisors (15794694921600).

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

4248009360000 is an equidigital number, since it uses as much as digits as its factorization.

4248009360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 4248009360000 in words is "four trillion, two hundred forty-eight billion, nine million, three hundred sixty thousand".