420244531200 has 1296 divisors, whose sum is σ = 1697727393180. Its totient is φ = 98736537600.

The previous prime is 420244531183. The next prime is 420244531277. The reversal of 420244531200 is 2135442024.

420244531200 is a `hidden beast` number, since 4 + 2 + 0 + 2 + 4 + 453 + 1 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 90345931776 + 329898599424 = 300576^2 + 574368^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5756774364 + ... + 5756774436.

Almost surely, 2^420244531200 is an apocalyptic number.

420244531200 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 420244531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848863696590).

420244531200 is an abundant number, since it is smaller than the sum of its proper divisors (1277482861980).

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

420244531200 is a wasteful number, since it uses less digits than its factorization.

420244531200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 420244531200 its reverse (2135442024), we get a palindrome (422379973224).

The spelling of 420244531200 in words is "four hundred twenty billion, two hundred forty-four million, five hundred thirty-one thousand, two hundred".