320032001001020 has 192 divisors, whose sum is σ = 855879783284736. Its totient is φ = 97610762430720.

The previous prime is 320032001000989. The next prime is 320032001001101. The reversal of 320032001001020 is 20100100230023.

It is a happy number.

It is a super-3 number, since 3×320032001001020³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 320032001000986 and 320032001001004.

It is a congruent number.

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, 415293389 + ... + 416063291.

It is an arithmetic number, because the mean of its divisors is an integer number (4457707204608).

Almost surely, 2^{320032001001020} 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 320032001001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427939891642368).

320032001001020 is an abundant number, since it is smaller than the sum of its proper divisors (535847782283716).

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

320032001001020 is a wasteful number, since it uses less digits than its factorization.

320032001001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775720 (or 775718 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 320032001001020 its reverse (20100100230023), we get a palindrome (340132101231043).

The spelling of 320032001001020 in words is "three hundred twenty trillion, thirty-two billion, one million, one thousand, twenty".