6471116040 has 128 divisors (see below), whose sum is σ = 20013557760. Its totient is φ = 1672975104.

The previous prime is 6471116021. The next prime is 6471116063. The reversal of 6471116040 is 406111746.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 6471115989 and 6471116007.

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 31 ways as a sum of consecutive naturals, for example, 598119 + ... + 608841.

It is an arithmetic number, because the mean of its divisors is an integer number (156355920).

Almost surely, 2^6471116040 is an apocalyptic number.

6471116040 is a gapful number since it is divisible by the number (60) 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 6471116040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10006778880).

6471116040 is an abundant number, since it is smaller than the sum of its proper divisors (13542441720).

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

6471116040 is a wasteful number, since it uses less digits than its factorization.

6471116040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10891 (or 10887 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 6471116040 is about 80443.2473238121. The cubic root of 6471116040 is about 1863.4871222757.

Adding to 6471116040 its reverse (406111746), we get a palindrome (6877227786).

The spelling of 6471116040 in words is "six billion, four hundred seventy-one million, one hundred sixteen thousand, forty".