8210881434240 has 768 divisors, whose sum is σ = 30480467097600. Its totient is φ = 2032128000000.

The previous prime is 8210881434031. The next prime is 8210881434253. The reversal of 8210881434240 is 424341880128.

8210881434240 is a `hidden beast` number, since 8 + 2 + 1 + 0 + 88 + 143 + 424 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 781908990 + ... + 781919490.

It is an arithmetic number, because the mean of its divisors is an integer number (39688108200).

Almost surely, 2^{8210881434240} is an apocalyptic number.

8210881434240 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 8210881434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240233548800).

8210881434240 is an abundant number, since it is smaller than the sum of its proper divisors (22269585663360).

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

8210881434240 is a wasteful number, since it uses less digits than its factorization.

8210881434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10737 (or 10722 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 8210881434240 in words is "eight trillion, two hundred ten billion, eight hundred eighty-one million, four hundred thirty-four thousand, two hundred forty".