8130417280 has 128 divisors (see below), whose sum is σ = 20637484560. Its totient is φ = 3052339200.

The previous prime is 8130417277. The next prime is 8130417349. The reversal of 8130417280 is 827140318.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5084260416 + 3046156864 = 71304^2 + 55192^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×8130417280² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 5014870 + ... + 5016490.

Almost surely, 2^8130417280 is an apocalyptic number.

8130417280 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 8130417280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10318742280).

8130417280 is an abundant number, since it is smaller than the sum of its proper divisors (12507067280).

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

8130417280 is a wasteful number, since it uses less digits than its factorization.

8130417280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 8130417280 is about 90168.8265422147. The cubic root of 8130417280 is about 2010.8095779237.

Adding to 8130417280 its reverse (827140318), we get a palindrome (8957557598).

The spelling of 8130417280 in words is "eight billion, one hundred thirty million, four hundred seventeen thousand, two hundred eighty".