841609440 has 240 divisors, whose sum is σ = 3394857312. Its totient is φ = 192347136.

The previous prime is 841609397. The next prime is 841609441. The reversal of 841609440 is 44906148.

It is a happy number.

841609440 is a `hidden beast` number, since 8 + 4 + 1 + 609 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×841609440² = 1416612898994227200, which contains 22 as substring.

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 = 841609395 and 841609404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (841609441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 86082 + ... + 95358.

Almost surely, 2^841609440 is an apocalyptic number.

841609440 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 841609440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697428656).

841609440 is an abundant number, since it is smaller than the sum of its proper divisors (2553247872).

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

841609440 is a wasteful number, since it uses less digits than its factorization.

841609440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9311 (or 9294 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 841609440 is about 29010.5056832865. The cubic root of 841609440 is about 944.1410183853.

The spelling of 841609440 in words is "eight hundred forty-one million, six hundred nine thousand, four hundred forty".