420866081284320 has 2304 divisors, whose sum is σ = 1798690682880000. Its totient is φ = 92796230983680.

The previous prime is 420866081284301. The next prime is 420866081284321. The reversal of 420866081284320 is 23482180668024.

420866081284320 is a `hidden beast` number, since 4 + 2 + 0 + 8 + 6 + 608 + 1 + 2 + 8 + 4 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420866081284321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 144280451502 + ... + 144280454418.

It is an arithmetic number, because the mean of its divisors is an integer number (780681720000).

Almost surely, 2^{420866081284320} is an apocalyptic number.

420866081284320 is a gapful number since it is divisible by the number (40) 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 420866081284320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899345341440000).

420866081284320 is an abundant number, since it is smaller than the sum of its proper divisors (1377824601595680).

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

420866081284320 is a wasteful number, since it uses less digits than its factorization.

420866081284320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3348 (or 3314 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 420866081284320 in words is "four hundred twenty trillion, eight hundred sixty-six billion, eighty-one million, two hundred eighty-four thousand, three hundred twenty".