32441011020 has 288 divisors, whose sum is σ = 112628565504. Its totient is φ = 7481548800.

The previous prime is 32441010919. The next prime is 32441011049. The reversal of 32441011020 is 2011014423.

It is a super-2 number, since 2×32441011020² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 32441010984 and 32441011002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8787375 + ... + 8791065.

It is an arithmetic number, because the mean of its divisors is an integer number (391071408).

Almost surely, 2^32441011020 is an apocalyptic number.

32441011020 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 32441011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56314282752).

32441011020 is an abundant number, since it is smaller than the sum of its proper divisors (80187554484).

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

32441011020 is a wasteful number, since it uses less digits than its factorization.

32441011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3933 (or 3928 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 32441011020 its reverse (2011014423), we get a palindrome (34452025443).

The spelling of 32441011020 in words is "thirty-two billion, four hundred forty-one million, eleven thousand, twenty".