6438412840 has 16 divisors (see below), whose sum is σ = 14486428980. Its totient is φ = 2575365120.

The previous prime is 6438412831. The next prime is 6438412853. The reversal of 6438412840 is 482148346.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6307218724 + 131194116 = 79418^2 + 11454^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 160960321 = 6438412840 / (6 + 4 + 3 + 8 + 4 + 1 + 2 + 8 + 4 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 6438412793 and 6438412802.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 80480121 + ... + 80480200.

Almost surely, 2^6438412840 is an apocalyptic number.

It is an amenable number.

6438412840 is an abundant number, since it is smaller than the sum of its proper divisors (8048016140).

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

6438412840 is a wasteful number, since it uses less digits than its factorization.

6438412840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160960332 (or 160960328 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 6438412840 is about 80239.7210862550. The cubic root of 6438412840 is about 1860.3426393088.

The spelling of 6438412840 in words is "six billion, four hundred thirty-eight million, four hundred twelve thousand, eight hundred forty".