420771788800 has 432 divisors, whose sum is σ = 1196985731760. Its totient is φ = 146305843200.

The previous prime is 420771788737. The next prime is 420771788803. The reversal of 420771788800 is 8887177024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420771788803) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 142488124 + ... + 142491076.

It is an arithmetic number, because the mean of its divisors is an integer number (2770800305).

Almost surely, 2^420771788800 is an apocalyptic number.

420771788800 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 420771788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598492865880).

420771788800 is an abundant number, since it is smaller than the sum of its proper divisors (776213942960).

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

420771788800 is a wasteful number, since it uses less digits than its factorization.

420771788800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3030 (or 2994 counting only the distinct ones).

The product of its (nonzero) digits is 1404928, while the sum is 52.

The spelling of 420771788800 in words is "four hundred twenty billion, seven hundred seventy-one million, seven hundred eighty-eight thousand, eight hundred".