320224401024 has 512 divisors, whose sum is σ = 1008572083200. Its totient is φ = 88940544000.

The previous prime is 320224400981. The next prime is 320224401031. The reversal of 320224401024 is 420104422023.

It is a super-2 number, since 2×320224401024² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 320224400985 and 320224401003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 485924407 + ... + 485925065.

It is an arithmetic number, because the mean of its divisors is an integer number (1969867350).

Almost surely, 2^320224401024 is an apocalyptic number.

320224401024 is a gapful number since it is divisible by the number (34) 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 320224401024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504286041600).

320224401024 is an abundant number, since it is smaller than the sum of its proper divisors (688347682176).

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

320224401024 is a wasteful number, since it uses less digits than its factorization.

320224401024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 320224401024 its reverse (420104422023), we get a palindrome (740328823047).

The spelling of 320224401024 in words is "three hundred twenty billion, two hundred twenty-four million, four hundred one thousand, twenty-four".