6405771240 has 96 divisors (see below), whose sum is σ = 22711384800. Its totient is φ = 1552913280.

The previous prime is 6405771143. The next prime is 6405771269. The reversal of 6405771240 is 421775046.

6405771240 is a `hidden beast` number, since 6 + 40 + 577 + 1 + 2 + 40 = 666.

It is a super-2 number, since 2×6405771240² = 82067810358422275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6405771195 and 6405771204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 804850 + ... + 812769.

It is an arithmetic number, because the mean of its divisors is an integer number (236576925).

Almost surely, 2^6405771240 is an apocalyptic number.

6405771240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6405771240 is an abundant number, since it is smaller than the sum of its proper divisors (16305613560).

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

6405771240 is a wasteful number, since it uses less digits than its factorization.

6405771240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617647 (or 1617640 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 6405771240 is about 80036.0621220210. The cubic root of 6405771240 is about 1857.1934433445.

The spelling of 6405771240 in words is "six billion, four hundred five million, seven hundred seventy-one thousand, two hundred forty".