6511442040 has 256 divisors, whose sum is σ = 22772275200. Its totient is φ = 1653032448.

The previous prime is 6511442039. The next prime is 6511442059. The reversal of 6511442040 is 402441156.

6511442040 is a `hidden beast` number, since 651 + 1 + 4 + 4 + 2 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 6511441995 and 6511442013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1876387 + ... + 1879853.

It is an arithmetic number, because the mean of its divisors is an integer number (88954200).

Almost surely, 2^6511442040 is an apocalyptic number.

6511442040 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 6511442040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11386137600).

6511442040 is an abundant number, since it is smaller than the sum of its proper divisors (16260833160).

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

6511442040 is a wasteful number, since it uses less digits than its factorization.

6511442040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3571 (or 3561 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 6511442040 is about 80693.5068019726. The cubic root of 6511442040 is about 1867.3500016619.

Adding to 6511442040 its reverse (402441156), we get a palindrome (6913883196).

The spelling of 6511442040 in words is "six billion, five hundred eleven million, four hundred forty-two thousand, forty".