320100224400 has 270 divisors, whose sum is σ = 1221003979650. Its totient is φ = 77599948800.

The previous prime is 320100224377. The next prime is 320100224441. The reversal of 320100224400 is 4422001023.

320100224400 is a `hidden beast` number, since 3 + 201 + 0 + 0 + 22 + 440 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 108117331344 + 211982893056 = 328812^2 + 460416^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 68176 + ... + 803024.

Almost surely, 2^320100224400 is an apocalyptic number.

320100224400 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 320100224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610501989825).

320100224400 is an abundant number, since it is smaller than the sum of its proper divisors (900903755250).

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

320100224400 is a wasteful number, since it uses less digits than its factorization.

320100224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734895 (or 734870 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 320100224400 its reverse (4422001023), we get a palindrome (324522225423).

The spelling of 320100224400 in words is "three hundred twenty billion, one hundred million, two hundred twenty-four thousand, four hundred".