320023001430405 has 144 divisors (see below), whose sum is σ = 694942040008944. Its totient is φ = 135035881021440.

The previous prime is 320023001430337. The next prime is 320023001430437. The reversal of 320023001430405 is 504034100320023.

320023001430405 is a `hidden beast` number, since 3 + 20 + 0 + 230 + 0 + 1 + 4 + 3 + 0 + 405 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 110601757127169 + 209421244303236 = 10516737^2 + 14471394^2 .

It is not a de Polignac number, because 320023001430405 - 2⁹ = 320023001429893 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 591403827 + ... + 591944703.

It is an arithmetic number, because the mean of its divisors is an integer number (4825986388951).

Almost surely, 2^{320023001430405} is an apocalyptic number.

320023001430405 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

320023001430405 is an abundant number, since it is smaller than the sum of its proper divisors (374919038578539).

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

320023001430405 is a wasteful number, since it uses less digits than its factorization.

320023001430405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561556 (or 561546 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 320023001430405 its reverse (504034100320023), we get a palindrome (824057101750428).

The spelling of 320023001430405 in words is "three hundred twenty trillion, twenty-three billion, one million, four hundred thirty thousand, four hundred five".