420343833600 has 198 divisors, whose sum is σ = 1505030609810. Its totient is φ = 112091627520.

The previous prime is 420343833599. The next prime is 420343833617. The reversal of 420343833600 is 6338343024.

420343833600 is a `hidden beast` number, since 4 + 2 + 0 + 3 + 43 + 8 + 3 + 3 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 122175415296 + 298168418304 = 349536^2 + 546048^2 .

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

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 681805 + ... + 1142604.

Almost surely, 2^420343833600 is an apocalyptic number.

420343833600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420343833600 is an abundant number, since it is smaller than the sum of its proper divisors (1084686776210).

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

420343833600 is a wasteful number, since it uses less digits than its factorization.

420343833600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824445 (or 1824419 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 420343833600 in words is "four hundred twenty billion, three hundred forty-three million, eight hundred thirty-three thousand, six hundred".