6271134440 has 64 divisors (see below), whose sum is σ = 14635233360. Its totient is φ = 2416435200.

The previous prime is 6271134439. The next prime is 6271134449. The reversal of 6271134440 is 444311726.

It can be written as a sum of positive squares in 8 ways, for example, as 5279766244 + 991368196 = 72662^2 + 31486^2 .

It is a super-2 number, since 2×6271134440² = 78654254329108227200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6271134397 and 6271134406.

It is not an unprimeable number, because it can be changed into a prime (6271134449) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 128504 + ... + 170456.

Almost surely, 2^6271134440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6271134440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7317616680).

6271134440 is an abundant number, since it is smaller than the sum of its proper divisors (8364098920).

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

6271134440 is a wasteful number, since it uses less digits than its factorization.

6271134440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42102 (or 42098 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 6271134440 is about 79190.4946316160. The cubic root of 6271134440 is about 1844.0896785406.

The spelling of 6271134440 in words is "six billion, two hundred seventy-one million, one hundred thirty-four thousand, four hundred forty".