820017241344 has 648 divisors, whose sum is σ = 2876816517120. Its totient is φ = 220013273088.

The previous prime is 820017241289. The next prime is 820017241367. The reversal of 820017241344 is 443142710028.

820017241344 is a `hidden beast` number, since 8 + 200 + 1 + 72 + 41 + 344 = 666.

820017241344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×820017241344² (a number of 25 digits) 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 = 820017241299 and 820017241308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 739419862 + ... + 739420970.

Almost surely, 2^820017241344 is an apocalyptic number.

820017241344 is a gapful number since it is divisible by the number (84) 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 820017241344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438408258560).

820017241344 is an abundant number, since it is smaller than the sum of its proper divisors (2056799275776).

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

820017241344 is a wasteful number, since it uses less digits than its factorization.

820017241344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 820017241344 in words is "eight hundred twenty billion, seventeen million, two hundred forty-one thousand, three hundred forty-four".