8182033440 has 192 divisors, whose sum is σ = 29787367680. Its totient is φ = 1849098240.

The previous prime is 8182033439. The next prime is 8182033451. The reversal of 8182033440 is 443302818.

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 31 ways as a sum of consecutive naturals, for example, 285360 + ... + 312720.

It is an arithmetic number, because the mean of its divisors is an integer number (155142540).

Almost surely, 2^8182033440 is an apocalyptic number.

8182033440 is a gapful number since it is divisible by the number (80) 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 8182033440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14893683840).

8182033440 is an abundant number, since it is smaller than the sum of its proper divisors (21605334240).

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

8182033440 is a wasteful number, since it uses less digits than its factorization.

8182033440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27475 (or 27467 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 8182033440 is about 90454.5932498732. The cubic root of 8182033440 is about 2015.0558299238.

The spelling of 8182033440 in words is "eight billion, one hundred eighty-two million, thirty-three thousand, four hundred forty".