320105142400 has 96 divisors (see below), whose sum is σ = 794775308580. Its totient is φ = 127391846400.

The previous prime is 320105142347. The next prime is 320105142421. The reversal of 320105142400 is 4241501023.

It can be written as a sum of positive squares in 6 ways, for example, as 168447859776 + 151657282624 = 410424^2 + 389432^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 376510 + ... + 884290.

Almost surely, 2^320105142400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320105142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397387654290).

320105142400 is an abundant number, since it is smaller than the sum of its proper divisors (474670166180).

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

320105142400 is a wasteful number, since it uses less digits than its factorization.

320105142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508002 (or 507985 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 320105142400 its reverse (4241501023), we get a palindrome (324346643423).

The spelling of 320105142400 in words is "three hundred twenty billion, one hundred five million, one hundred forty-two thousand, four hundred".