830105418240 has 1280 divisors, whose sum is σ = 3478920192000. Its totient is φ = 186002915328.

The previous prime is 830105418161. The next prime is 830105418253. The reversal of 830105418240 is 42814501038.

830105418240 is a `hidden beast` number, since 8 + 30 + 1 + 0 + 541 + 82 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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 = 830105418195 and 830105418204.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2312271181 + ... + 2312271539.

It is an arithmetic number, because the mean of its divisors is an integer number (2717906400).

Almost surely, 2^830105418240 is an apocalyptic number.

830105418240 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 830105418240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739460096000).

830105418240 is an abundant number, since it is smaller than the sum of its proper divisors (2648814773760).

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

830105418240 is an frugal number, since it uses more digits than its factorization.

830105418240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Adding to 830105418240 its reverse (42814501038), we get a palindrome (872919919278).

The spelling of 830105418240 in words is "eight hundred thirty billion, one hundred five million, four hundred eighteen thousand, two hundred forty".