420805944720 has 800 divisors, whose sum is σ = 1756807557120. Its totient is φ = 91270333440.

The previous prime is 420805944701. The next prime is 420805944749. The reversal of 420805944720 is 27449508024.

420805944720 is a `hidden beast` number, since 420 + 80 + 5 + 94 + 47 + 20 = 666.

It is a super-2 number, since 2×420805944720² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 136668141 + ... + 136671219.

Almost surely, 2^420805944720 is an apocalyptic number.

420805944720 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 420805944720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878403778560).

420805944720 is an abundant number, since it is smaller than the sum of its proper divisors (1336001612400).

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

420805944720 is a wasteful number, since it uses less digits than its factorization.

420805944720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3265 (or 3250 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 420805944720 in words is "four hundred twenty billion, eight hundred five million, nine hundred forty-four thousand, seven hundred twenty".