20442142324000 has 48 divisors (see below), whose sum is σ = 50226343699896. Its totient is φ = 8176856928000.

The previous prime is 20442142323979. The next prime is 20442142324007. The reversal of 20442142324000 is 42324124402.

It can be written as a sum of positive squares in 4 ways, for example, as 1707130391184 + 18735011932816 = 1306572^2 + 4328396^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20442142324000.

It is not an unprimeable number, because it can be changed into a prime (20442142324007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2555263791 + ... + 2555271790.

Almost surely, 2^{20442142324000} is an apocalyptic number.

20442142324000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20442142324000 is an abundant number, since it is smaller than the sum of its proper divisors (29784201375896).

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

20442142324000 is an equidigital number, since it uses as much as digits as its factorization.

20442142324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5110535606 (or 5110535588 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 20442142324000 its reverse (42324124402), we get a palindrome (20484466448402).

The spelling of 20442142324000 in words is "twenty trillion, four hundred forty-two billion, one hundred forty-two million, three hundred twenty-four thousand".