320401281600 has 567 divisors, whose sum is σ = 1173861467233. Its totient is φ = 82886369280.

The previous prime is 320401281527. The next prime is 320401281643. The reversal of 320401281600 is 6182104023.

The square root of 320401281600 is 566040.

It is a perfect power (a square), and thus also a powerful number.

320401281600 is a `hidden beast` number, since 3 + 2 + 0 + 40 + 12 + 8 + 1 + 600 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 235566563904 + 84834717696 = 485352^2 + 291264^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3600014356 + ... + 3600014444.

Almost surely, 2^320401281600 is an apocalyptic number.

320401281600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

320401281600 is the 566040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320401281600

320401281600 is an abundant number, since it is smaller than the sum of its proper divisors (853460185633).

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

320401281600 is an equidigital number, since it uses as much as digits as its factorization.

320401281600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Multiplying 320401281600 by its product of nonzero digits (2304), we get a square (738204552806400 = 27169920²).

Adding to 320401281600 its reverse (6182104023), we get a palindrome (326583385623).

The spelling of 320401281600 in words is "three hundred twenty billion, four hundred one million, two hundred eighty-one thousand, six hundred".