82032445440 has 960 divisors, whose sum is σ = 330784534080. Its totient is φ = 19349176320.

The previous prime is 82032445423. The next prime is 82032445441. The reversal of 82032445440 is 4454423028.

82032445440 is a `hidden beast` number, since 8 + 203 + 2 + 4 + 4 + 5 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 = 82032445395 and 82032445404.

It is not an unprimeable number, because it can be changed into a prime (82032445441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2217093102 + ... + 2217093138.

It is an arithmetic number, because the mean of its divisors is an integer number (344567223).

Almost surely, 2^82032445440 is an apocalyptic number.

82032445440 is a gapful number since it is divisible by the number (80) 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 82032445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165392267040).

82032445440 is an abundant number, since it is smaller than the sum of its proper divisors (248752088640).

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

82032445440 is an frugal number, since it uses more digits than its factorization.

82032445440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 82032445440 its reverse (4454423028), we get a palindrome (86486868468).

The spelling of 82032445440 in words is "eighty-two billion, thirty-two million, four hundred forty-five thousand, four hundred forty".