841328640 has 384 divisors, whose sum is σ = 3184272000. Its totient is φ = 209977344.

The previous prime is 841328611. The next prime is 841328641. The reversal of 841328640 is 46823148.

841328640 is a `hidden beast` number, since 8 + 4 + 1 + 3 + 2 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 841328595 and 841328604.

It is not an unprimeable number, because it can be changed into a prime (841328641) 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, 4700071 + ... + 4700249.

It is an arithmetic number, because the mean of its divisors is an integer number (8292375).

Almost surely, 2^841328640 is an apocalyptic number.

841328640 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 841328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592136000).

841328640 is an abundant number, since it is smaller than the sum of its proper divisors (2342943360).

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

841328640 is a wasteful number, since it uses less digits than its factorization.

841328640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 206 counting only the distinct ones).

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

The square root of 841328640 is about 29005.6656534547. The cubic root of 841328640 is about 944.0360036062.

The spelling of 841328640 in words is "eight hundred forty-one million, three hundred twenty-eight thousand, six hundred forty".