423895680000 has 2200 divisors, whose sum is σ = 1852415406072. Its totient is φ = 95551488000.

The previous prime is 423895679953. The next prime is 423895680007. The reversal of 423895680000 is 86598324.

423895680000 is a `hidden beast` number, since 4 + 2 + 3 + 89 + 568 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 389495817216 + 34399862784 = 624096^2 + 185472^2 .

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

It is not an unprimeable number, because it can be changed into a prime (423895680007) by changing a digit.

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 199 ways as a sum of consecutive naturals, for example, 11456639982 + ... + 11456640018.

Almost surely, 2^423895680000 is an apocalyptic number.

423895680000 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 423895680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926207703036).

423895680000 is an abundant number, since it is smaller than the sum of its proper divisors (1428519726072).

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

423895680000 is a wasteful number, since it uses less digits than its factorization.

423895680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 423895680000 in words is "four hundred twenty-three billion, eight hundred ninety-five million, six hundred eighty thousand".