8261409480 has 192 divisors, whose sum is σ = 25995945600. Its totient is φ = 2099865600.

The previous prime is 8261409461. The next prime is 8261409487. The reversal of 8261409480 is 849041628.

It is not an unprimeable number, because it can be changed into a prime (8261409487) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8187216 + ... + 8188224.

It is an arithmetic number, because the mean of its divisors is an integer number (135395550).

Almost surely, 2^8261409480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8261409480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12997972800).

8261409480 is an abundant number, since it is smaller than the sum of its proper divisors (17734536120).

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

8261409480 is a wasteful number, since it uses less digits than its factorization.

8261409480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 8261409480 is about 90892.2960431741. The cubic root of 8261409480 is about 2021.5510650185.

The spelling of 8261409480 in words is "eight billion, two hundred sixty-one million, four hundred nine thousand, four hundred eighty".