320225543040 has 128 divisors (see below), whose sum is σ = 1099235844000. Its totient is φ = 78824742912.

The previous prime is 320225543021. The next prime is 320225543047. The reversal of 320225543040 is 40345522023.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 320225542989 and 320225543007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320225543047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6389815 + ... + 6439734.

Almost surely, 2^320225543040 is an apocalyptic number.

320225543040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

320225543040 is an abundant number, since it is smaller than the sum of its proper divisors (779010300960).

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

320225543040 is a wasteful number, since it uses less digits than its factorization.

320225543040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12829584 (or 12829572 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The spelling of 320225543040 in words is "three hundred twenty billion, two hundred twenty-five million, five hundred forty-three thousand, forty".