8421001248 has 192 divisors, whose sum is σ = 25866086400. Its totient is φ = 2371599360.

The previous prime is 8421001241. The next prime is 8421001291.

8421001248 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (8421001241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1059433 + ... + 1067351.

It is an arithmetic number, because the mean of its divisors is an integer number (134719200).

Almost surely, 2^8421001248 is an apocalyptic number.

8421001248 is a gapful number since it is divisible by the number (88) 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 8421001248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12933043200).

8421001248 is an abundant number, since it is smaller than the sum of its proper divisors (17445085152).

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

8421001248 is a wasteful number, since it uses less digits than its factorization.

8421001248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8015 (or 8007 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 8421001248 is about 91766.0135780126. The cubic root of 8421001248 is about 2034.4853983577.

It can be divided in two parts, 842100 and 1248, that added together give a palindrome (843348).

The spelling of 8421001248 in words is "eight billion, four hundred twenty-one million, one thousand, two hundred forty-eight".