4248888000 has 336 divisors, whose sum is σ = 16324929504. Its totient is φ = 970905600.

The previous prime is 4248887999. The next prime is 4248888011. The reversal of 4248888000 is 8888424.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1174194 + ... + 1177806.

Almost surely, 2^4248888000 is an apocalyptic number.

4248888000 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 4248888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8162464752).

4248888000 is an abundant number, since it is smaller than the sum of its proper divisors (12076041504).

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

4248888000 is a wasteful number, since it uses less digits than its factorization.

4248888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3657 (or 3630 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 42.

The square root of 4248888000 is about 65183.4948434034. The cubic root of 4248888000 is about 1619.6646158325.

The spelling of 4248888000 in words is "four billion, two hundred forty-eight million, eight hundred eighty-eight thousand".