8200001440 has 48 divisors (see below), whose sum is σ = 19384337448. Its totient is φ = 3277997056.

The previous prime is 8200001393. The next prime is 8200001441. The reversal of 8200001440 is 441000028.

It can be written as a sum of positive squares in 4 ways, for example, as 4811364496 + 3388636944 = 69364^2 + 58212^2 .

It is not an unprimeable number, because it can be changed into a prime (8200001441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 262494 + ... + 292066.

Almost surely, 2^8200001440 is an apocalyptic number.

8200001440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8200001440 is an abundant number, since it is smaller than the sum of its proper divisors (11184336008).

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

8200001440 is a wasteful number, since it uses less digits than its factorization.

8200001440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31321 (or 31313 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 8200001440 is about 90553.8593324437. The cubic root of 8200001440 is about 2016.5297932589.

Adding to 8200001440 its reverse (441000028), we get a palindrome (8641001468).

The spelling of 8200001440 in words is "eight billion, two hundred million, one thousand, four hundred forty".