20441530452000 has 768 divisors, whose sum is σ = 78856427639808. Its totient is φ = 4531330252800.

The previous prime is 20441530451987. The next prime is 20441530452001. The reversal of 20441530452000 is 25403514402.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (20441530452001) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 972793494 + ... + 972814506.

It is an arithmetic number, because the mean of its divisors is an integer number (102677640156).

Almost surely, 2^{20441530452000} is an apocalyptic number.

20441530452000 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 20441530452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39428213819904).

20441530452000 is an abundant number, since it is smaller than the sum of its proper divisors (58414897187808).

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

20441530452000 is a wasteful number, since it uses less digits than its factorization.

20441530452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21398 (or 21380 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 20441530452000 its reverse (25403514402), we get a palindrome (20466933966402).

The spelling of 20441530452000 in words is "twenty trillion, four hundred forty-one billion, five hundred thirty million, four hundred fifty-two thousand".