8004410480 has 80 divisors (see below), whose sum is σ = 20318637024. Its totient is φ = 2908323840.

The previous prime is 8004410431. The next prime is 8004410501. The reversal of 8004410480 is 840144008.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1363712 + ... + 1369568.

Almost surely, 2^8004410480 is an apocalyptic number.

8004410480 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 8004410480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10159318512).

8004410480 is an abundant number, since it is smaller than the sum of its proper divisors (12314226544).

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

8004410480 is a wasteful number, since it uses less digits than its factorization.

8004410480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7434 (or 7428 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 29.

The square root of 8004410480 is about 89467.3710354786. The cubic root of 8004410480 is about 2000.3674724779.

Adding to 8004410480 its reverse (840144008), we get a palindrome (8844554488).

The spelling of 8004410480 in words is "eight billion, four million, four hundred ten thousand, four hundred eighty".