8200071440 has 80 divisors (see below), whose sum is σ = 20840362560. Its totient is φ = 2975823360.

The previous prime is 8200071421. The next prime is 8200071449. The reversal of 8200071440 is 441700028.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×8200071440² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8200071449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 438767 + ... + 457073.

It is an arithmetic number, because the mean of its divisors is an integer number (260504532).

Almost surely, 2^8200071440 is an apocalyptic number.

8200071440 is a gapful number since it is divisible by the number (80) 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 8200071440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10420181280).

8200071440 is an abundant number, since it is smaller than the sum of its proper divisors (12640291120).

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

8200071440 is a wasteful number, since it uses less digits than its factorization.

8200071440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18840 (or 18834 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 8200071440 is about 90554.2458419262. The cubic root of 8200071440 is about 2016.5355313344.

Adding to 8200071440 its reverse (441700028), we get a palindrome (8641771468).

The spelling of 8200071440 in words is "eight billion, two hundred million, seventy-one thousand, four hundred forty".