20442323311120 has 80 divisors (see below), whose sum is σ = 47592575598960. Its totient is φ = 8165892114432.

The previous prime is 20442323311093. The next prime is 20442323311147. The reversal of 20442323311120 is 2111332324402.

It is an interprime number because it is at equal distance from previous prime (20442323311093) and next prime (20442323311147).

It can be written as a sum of positive squares in 8 ways, for example, as 13380144620544 + 7062178690576 = 3657888^2 + 2657476^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 436507866 + ... + 436554694.

It is an arithmetic number, because the mean of its divisors is an integer number (594907194987).

Almost surely, 2^{20442323311120} is an apocalyptic number.

20442323311120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20442323311120 is an abundant number, since it is smaller than the sum of its proper divisors (27150252287840).

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

20442323311120 is a wasteful number, since it uses less digits than its factorization.

20442323311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54092 (or 54086 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 20442323311120 its reverse (2111332324402), we get a palindrome (22553655635522).

The spelling of 20442323311120 in words is "twenty trillion, four hundred forty-two billion, three hundred twenty-three million, three hundred eleven thousand, one hundred twenty".