320525350223040 has 448 divisors, whose sum is σ = 1142175544773120. Its totient is φ = 84609527500800.

The previous prime is 320525350223033. The next prime is 320525350223077. The reversal of 320525350223040 is 40322053525023.

320525350223040 is a `hidden beast` number, since 3 + 2 + 0 + 52 + 535 + 0 + 2 + 2 + 30 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 320525350222986 and 320525350223004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4491442399 + ... + 4491513761.

Almost surely, 2^{320525350223040} is an apocalyptic number.

320525350223040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320525350223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571087772386560).

320525350223040 is an abundant number, since it is smaller than the sum of its proper divisors (821650194550080).

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

320525350223040 is a wasteful number, since it uses less digits than its factorization.

320525350223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76637 (or 76621 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

The spelling of 320525350223040 in words is "three hundred twenty trillion, five hundred twenty-five billion, three hundred fifty million, two hundred twenty-three thousand, forty".