8145061440 has 112 divisors (see below), whose sum is σ = 26010583488. Its totient is φ = 2159417344.

The previous prime is 8145061439. The next prime is 8145061447. The reversal of 8145061440 is 441605418.

It is a super-2 number, since 2×8145061440² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8145061447) 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 15 ways as a sum of consecutive naturals, for example, 141559 + ... + 190601.

Almost surely, 2^8145061440 is an apocalyptic number.

8145061440 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 8145061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13005291744).

8145061440 is an abundant number, since it is smaller than the sum of its proper divisors (17865522048).

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

8145061440 is a wasteful number, since it uses less digits than its factorization.

8145061440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49236 (or 49226 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 8145061440 is about 90249.9941274236. The cubic root of 8145061440 is about 2012.0161152397.

Adding to 8145061440 its reverse (441605418), we get a palindrome (8586666858).

The spelling of 8145061440 in words is "eight billion, one hundred forty-five million, sixty-one thousand, four hundred forty".