320442204243420 has 288 divisors, whose sum is σ = 1118486892257280. Its totient is φ = 72742715781120.

The previous prime is 320442204243401. The next prime is 320442204243431. The reversal of 320442204243420 is 24342402244023.

320442204243420 is a `hidden beast` number, since 3 + 2 + 0 + 4 + 4 + 2 + 204 + 24 + 3 + 420 = 666.

It is a super-2 number, since 2×320442204243420² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 147893004 + ... + 150044076.

It is an arithmetic number, because the mean of its divisors is an integer number (3883635042560).

Almost surely, 2^{320442204243420} is an apocalyptic number.

320442204243420 is a gapful number since it is divisible by the number (30) 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 320442204243420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559243446128640).

320442204243420 is an abundant number, since it is smaller than the sum of its proper divisors (798044688013860).

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

320442204243420 is a wasteful number, since it uses less digits than its factorization.

320442204243420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151905 (or 2151900 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 320442204243420 its reverse (24342402244023), we get a palindrome (344784606487443).

The spelling of 320442204243420 in words is "three hundred twenty trillion, four hundred forty-two billion, two hundred four million, two hundred forty-three thousand, four hundred twenty".