6411133140 has 96 divisors (see below), whose sum is σ = 19032384000. Its totient is φ = 1607962752.

The previous prime is 6411133139. The next prime is 6411133147. The reversal of 6411133140 is 413311146.

It is a super-2 number, since 2×6411133140² = 82205256277612519200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6411133140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6411133147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138231 + ... + 178689.

It is an arithmetic number, because the mean of its divisors is an integer number (198254000).

Almost surely, 2^6411133140 is an apocalyptic number.

6411133140 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 6411133140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9516192000).

6411133140 is an abundant number, since it is smaller than the sum of its proper divisors (12621250860).

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

6411133140 is a wasteful number, since it uses less digits than its factorization.

6411133140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40629 (or 40627 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 6411133140 is about 80069.5518908405. The cubic root of 6411133140 is about 1857.7114818443.

Adding to 6411133140 its reverse (413311146), we get a palindrome (6824444286).

The spelling of 6411133140 in words is "six billion, four hundred eleven million, one hundred thirty-three thousand, one hundred forty".