8466420340224 has 1440 divisors, whose sum is σ = 32373699950592. Its totient is φ = 2184247296000.

The previous prime is 8466420340219. The next prime is 8466420340243. The reversal of 8466420340224 is 4220430246648.

8466420340224 is a `hidden beast` number, since 8 + 4 + 6 + 64 + 20 + 340 + 224 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 8466420340224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12808502454 + ... + 12808503114.

Almost surely, 2^{8466420340224} is an apocalyptic number.

8466420340224 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 8466420340224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16186849975296).

8466420340224 is an abundant number, since it is smaller than the sum of its proper divisors (23907279610368).

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

8466420340224 is a wasteful number, since it uses less digits than its factorization.

8466420340224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 45.

The spelling of 8466420340224 in words is "eight trillion, four hundred sixty-six billion, four hundred twenty million, three hundred forty thousand, two hundred twenty-four".