8041244218600 has 192 divisors, whose sum is σ = 20514392910000. Its totient is φ = 2917745295360.

The previous prime is 8041244218591. The next prime is 8041244218603. The reversal of 8041244218600 is 68124421408.

It can be written as a sum of positive squares in 24 ways, for example, as 63884584516 + 7977359634084 = 252754^2 + 2824422^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (8041244218603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56031736 + ... + 56175064.

Almost surely, 2^{8041244218600} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8041244218600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10257196455000).

8041244218600 is an abundant number, since it is smaller than the sum of its proper divisors (12473148691400).

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

8041244218600 is a wasteful number, since it uses less digits than its factorization.

8041244218600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143960 (or 143951 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The spelling of 8041244218600 in words is "eight trillion, forty-one billion, two hundred forty-four million, two hundred eighteen thousand, six hundred".