320220161295040 has 672 divisors, whose sum is σ = 825697196561664. Its totient is φ = 118188905472000.

The previous prime is 320220161294981. The next prime is 320220161295059. The reversal of 320220161295040 is 40592161022023.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 545519865627 + ... + 545519866213.

It is an arithmetic number, because the mean of its divisors is an integer number (1228716066312).

Almost surely, 2^{320220161295040} 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 320220161295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412848598280832).

320220161295040 is an abundant number, since it is smaller than the sum of its proper divisors (505477035266624).

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

320220161295040 is a wasteful number, since it uses less digits than its factorization.

320220161295040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 320220161295040 in words is "three hundred twenty trillion, two hundred twenty billion, one hundred sixty-one million, two hundred ninety-five thousand, forty".