8441029440 has 280 divisors, whose sum is σ = 31333927680. Its totient is φ = 2152922112.

The previous prime is 8441029381. The next prime is 8441029477. The reversal of 8441029440 is 449201448.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8441029395 and 8441029404.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 589081 + ... + 603239.

Almost surely, 2^8441029440 is an apocalyptic number.

8441029440 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 8441029440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15666963840).

8441029440 is an abundant number, since it is smaller than the sum of its proper divisors (22892898240).

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

8441029440 is a wasteful number, since it uses less digits than its factorization.

8441029440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14211 (or 14192 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8441029440 is about 91875.0751836427. The cubic root of 8441029440 is about 2036.0970358117.

The spelling of 8441029440 in words is "eight billion, four hundred forty-one million, twenty-nine thousand, four hundred forty".