420775300800 has 840 divisors, whose sum is σ = 1606846298112. Its totient is φ = 108335232000.

The previous prime is 420775300793. The next prime is 420775300801. The reversal of 420775300800 is 8003577024.

420775300800 is a `hidden beast` number, since 4 + 207 + 75 + 300 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (420775300801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 976276585 + ... + 976277015.

Almost surely, 2^420775300800 is an apocalyptic number.

420775300800 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 420775300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803423149056).

420775300800 is an abundant number, since it is smaller than the sum of its proper divisors (1186070997312).

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

420775300800 is an frugal number, since it uses more digits than its factorization.

420775300800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

Adding to 420775300800 its reverse (8003577024), we get a palindrome (428778877824).

The spelling of 420775300800 in words is "four hundred twenty billion, seven hundred seventy-five million, three hundred thousand, eight hundred".