8001441008 has 40 divisors (see below), whose sum is σ = 16922498736. Its totient is φ = 3634790400.

The previous prime is 8001440971. The next prime is 8001441067.

8001441008 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 293360 + ... + 319472.

Almost surely, 2^8001441008 is an apocalyptic number.

8001441008 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

8001441008 is an abundant number, since it is smaller than the sum of its proper divisors (8921057728).

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

8001441008 is a wasteful number, since it uses less digits than its factorization.

8001441008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27873 (or 27867 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 8001441008 is about 89450.7742168842. The cubic root of 8001441008 is about 2000.1200767906.

The spelling of 8001441008 in words is "eight billion, one million, four hundred forty-one thousand, eight".