20441165040 has 240 divisors, whose sum is σ = 72937519200. Its totient is φ = 5120575488.

The previous prime is 20441164897. The next prime is 20441165047. The reversal of 20441165040 is 4056114402.

20441165040 is a `hidden beast` number, since 2 + 0 + 4 + 4 + 1 + 1 + 650 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 20441164995 and 20441165013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20441165047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 759331 + ... + 785789.

It is an arithmetic number, because the mean of its divisors is an integer number (303906330).

Almost surely, 2^20441165040 is an apocalyptic number.

20441165040 is a gapful number since it is divisible by the number (20) 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 20441165040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36468759600).

20441165040 is an abundant number, since it is smaller than the sum of its proper divisors (52496354160).

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

20441165040 is a wasteful number, since it uses less digits than its factorization.

20441165040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26544 (or 26535 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 20441165040 its reverse (4056114402), we get a palindrome (24497279442).

The spelling of 20441165040 in words is "twenty billion, four hundred forty-one million, one hundred sixty-five thousand, forty".