4021248000 has 896 divisors, whose sum is σ = 17665330176. Its totient is φ = 786432000.

The previous prime is 4021247981. The next prime is 4021248013. The reversal of 4021248000 is 8421204.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 236543992 + ... + 236544008.

Almost surely, 2^4021248000 is an apocalyptic number.

4021248000 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 4021248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8832665088).

4021248000 is an abundant number, since it is smaller than the sum of its proper divisors (13644082176).

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

4021248000 is a wasteful number, since it uses less digits than its factorization.

4021248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 4021248000 is about 63413.3109055189. The cubic root of 4021248000 is about 1590.2068478174.

Adding to 4021248000 its reverse (8421204), we get a palindrome (4029669204).

The spelling of 4021248000 in words is "four billion, twenty-one million, two hundred forty-eight thousand".