4248161280 has 792 divisors, whose sum is σ = 17646286320. Its totient is φ = 935854080.

The previous prime is 4248161237. The next prime is 4248161293. The reversal of 4248161280 is 821618424.

4248161280 is a `hidden beast` number, since 42 + 481 + 61 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 146488306 + ... + 146488334.

Almost surely, 2^4248161280 is an apocalyptic number.

4248161280 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 4248161280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8823143160).

4248161280 is an abundant number, since it is smaller than the sum of its proper divisors (13398125040).

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

4248161280 is a wasteful number, since it uses less digits than its factorization.

4248161280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 4248161280 is about 65177.9201877446. The cubic root of 4248161280 is about 1619.5722693345.

The spelling of 4248161280 in words is "four billion, two hundred forty-eight million, one hundred sixty-one thousand, two hundred eighty".