6411149440 has 32 divisors (see below), whose sum is σ = 15326655660. Its totient is φ = 2564459520.

The previous prime is 6411149417. The next prime is 6411149449. The reversal of 6411149440 is 449411146.

It can be written as a sum of positive squares in 2 ways, for example, as 5786949184 + 624200256 = 76072^2 + 24984^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×6411149440² = 82205674284024627200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6411149396 and 6411149405.

It is not an unprimeable number, because it can be changed into a prime (6411149449) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5008071 + ... + 5009350.

Almost surely, 2^6411149440 is an apocalyptic number.

It is an amenable number.

6411149440 is an abundant number, since it is smaller than the sum of its proper divisors (8915506220).

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

6411149440 is a wasteful number, since it uses less digits than its factorization.

6411149440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10017440 (or 10017428 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 6411149440 is about 80069.6536772828. The cubic root of 6411149440 is about 1857.7130562239.

The spelling of 6411149440 in words is "six billion, four hundred eleven million, one hundred forty-nine thousand, four hundred forty".