8010205440 has 144 divisors (see below), whose sum is σ = 26929291200. Its totient is φ = 2023612416.

The previous prime is 8010205397. The next prime is 8010205453. The reversal of 8010205440 is 445020108.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 8010205440.

It is an unprimeable number.

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, 18066 + ... + 127854.

Almost surely, 2^8010205440 is an apocalyptic number.

8010205440 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 8010205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13464645600).

8010205440 is an abundant number, since it is smaller than the sum of its proper divisors (18919085760).

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

8010205440 is a wasteful number, since it uses less digits than its factorization.

8010205440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109832 (or 109818 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 8010205440 is about 89499.7510611063. The cubic root of 8010205440 is about 2000.8500919540.

Adding to 8010205440 its reverse (445020108), we get a palindrome (8455225548).

The spelling of 8010205440 in words is "eight billion, ten million, two hundred five thousand, four hundred forty".