6405143040 has 800 divisors, whose sum is σ = 25667642880. Its totient is φ = 1518206976.

The previous prime is 6405143039. The next prime is 6405143051. The reversal of 6405143040 is 403415046.

6405143040 is a `hidden beast` number, since 640 + 5 + 14 + 3 + 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 = 6405142995 and 6405143013.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 81077721 + ... + 81077799.

Almost surely, 2^6405143040 is an apocalyptic number.

6405143040 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 6405143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12833821440).

6405143040 is an abundant number, since it is smaller than the sum of its proper divisors (19262499840).

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

6405143040 is a wasteful number, since it uses less digits than its factorization.

6405143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 6405143040 is about 80032.1375448638. The cubic root of 6405143040 is about 1857.1327310578.

Adding to 6405143040 its reverse (403415046), we get a palindrome (6808558086).

The spelling of 6405143040 in words is "six billion, four hundred five million, one hundred forty-three thousand, forty".