8140980480 has 144 divisors (see below), whose sum is σ = 26441674560. Its totient is φ = 2134073344.

The previous prime is 8140980473. The next prime is 8140980481. The reversal of 8140980480 is 840890418.

It is not an unprimeable number, because it can be changed into a prime (8140980481) 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, 208594 + ... + 244526.

It is an arithmetic number, because the mean of its divisors is an integer number (183622740).

Almost surely, 2^8140980480 is an apocalyptic number.

8140980480 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 8140980480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13220837280).

8140980480 is an abundant number, since it is smaller than the sum of its proper divisors (18300694080).

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

8140980480 is a wasteful number, since it uses less digits than its factorization.

8140980480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36016 (or 36002 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 8140980480 is about 90227.3820965676. The cubic root of 8140980480 is about 2011.6800290090.

The spelling of 8140980480 in words is "eight billion, one hundred forty million, nine hundred eighty thousand, four hundred eighty".