420789427200 has 660 divisors, whose sum is σ = 1565574045112. Its totient is φ = 111675801600.

The previous prime is 420789427181. The next prime is 420789427213. The reversal of 420789427200 is 2724987024.

420789427200 is a `hidden beast` number, since 420 + 78 + 94 + 2 + 72 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 636594870 + ... + 636595530.

Almost surely, 2^420789427200 is an apocalyptic number.

420789427200 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 420789427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782787022556).

420789427200 is an abundant number, since it is smaller than the sum of its proper divisors (1144784617912).

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

420789427200 is a wasteful number, since it uses less digits than its factorization.

420789427200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 420789427200 in words is "four hundred twenty billion, seven hundred eighty-nine million, four hundred twenty-seven thousand, two hundred".