8224212701040 has 160 divisors (see below), whose sum is σ = 29164473592320. Its totient is φ = 1878061151232.

The previous prime is 8224212701017. The next prime is 8224212701069. The reversal of 8224212701040 is 401072124228.

It is a super-3 number, since 3×8224212701040³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8224212700992 and 8224212701010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 493774 + ... + 4085613.

It is an arithmetic number, because the mean of its divisors is an integer number (182277959952).

Almost surely, 2^{8224212701040} is an apocalyptic number.

8224212701040 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 8224212701040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14582236796160).

8224212701040 is an abundant number, since it is smaller than the sum of its proper divisors (20940260891280).

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

8224212701040 is a wasteful number, since it uses less digits than its factorization.

8224212701040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4580479 (or 4580473 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

Adding to 8224212701040 its reverse (401072124228), we get a palindrome (8625284825268).

The spelling of 8224212701040 in words is "eight trillion, two hundred twenty-four billion, two hundred twelve million, seven hundred one thousand, forty".