8406210135280 has 160 divisors (see below), whose sum is σ = 20658909173760. Its totient is φ = 3176060267520.

The previous prime is 8406210135263. The next prime is 8406210135293. The reversal of 8406210135280 is 825310126048.

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

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, 152360979 + ... + 152416141.

It is an arithmetic number, because the mean of its divisors is an integer number (129118182336).

Almost surely, 2^{8406210135280} is an apocalyptic number.

8406210135280 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 8406210135280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10329454586880).

8406210135280 is an abundant number, since it is smaller than the sum of its proper divisors (12252699038480).

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

8406210135280 is a wasteful number, since it uses less digits than its factorization.

8406210135280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56679 (or 56673 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 8406210135280 in words is "eight trillion, four hundred six billion, two hundred ten million, one hundred thirty-five thousand, two hundred eighty".